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Finding the Third Proportional to 23,409 and 32,226.75

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Solution

The third proportional to 23,409 and 32,226.75 is: 44,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 32,226.75 = 32,226.75 : x
  2. Step 2: Convert to fraction form
    23,409/32,226.75 = 32,226.75/x
  3. Step 3: Cross multiply
    23,409x = 32,226.75 × 32,226.75
  4. Step 4: Simplify right side
    23,409x = 1,038,563,415.56
  5. Step 5: Solve for x
    x = 1,038,563,415.56/23,409
  6. Step 6: Final answer
    x = 44,365.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.