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Finding the Third Proportional to 23,262.75 and 33,226.50

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Solution

The third proportional to 23,262.75 and 33,226.50 is: 47,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262.75 : 33,226.50 = 33,226.50 : x
  2. Step 2: Convert to fraction form
    23,262.75/33,226.50 = 33,226.50/x
  3. Step 3: Cross multiply
    23,262.75x = 33,226.50 × 33,226.50
  4. Step 4: Simplify right side
    23,262.75x = 1,104,000,302.25
  5. Step 5: Solve for x
    x = 1,104,000,302.25/23,262.75
  6. Step 6: Final answer
    x = 47,457.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.