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Finding the Third Proportional to 23,470.13 and 35,404.31

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Solution

The third proportional to 23,470.13 and 35,404.31 is: 53,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.13 : 35,404.31 = 35,404.31 : x
  2. Step 2: Convert to fraction form
    23,470.13/35,404.31 = 35,404.31/x
  3. Step 3: Cross multiply
    23,470.13x = 35,404.31 × 35,404.31
  4. Step 4: Simplify right side
    23,470.13x = 1,253,465,343.60
  5. Step 5: Solve for x
    x = 1,253,465,343.60/23,470.13
  6. Step 6: Final answer
    x = 53,406.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.