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Finding the Third Proportional to 9,237.75 and 20,262.50

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Solution

The third proportional to 9,237.75 and 20,262.50 is: 44,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.75 : 20,262.50 = 20,262.50 : x
  2. Step 2: Convert to fraction form
    9,237.75/20,262.50 = 20,262.50/x
  3. Step 3: Cross multiply
    9,237.75x = 20,262.50 × 20,262.50
  4. Step 4: Simplify right side
    9,237.75x = 410,568,906.25
  5. Step 5: Solve for x
    x = 410,568,906.25/9,237.75
  6. Step 6: Final answer
    x = 44,444.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.