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Finding the Third Proportional to 10,565.63 and 16,351.31

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Solution

The third proportional to 10,565.63 and 16,351.31 is: 25,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.63 : 16,351.31 = 16,351.31 : x
  2. Step 2: Convert to fraction form
    10,565.63/16,351.31 = 16,351.31/x
  3. Step 3: Cross multiply
    10,565.63x = 16,351.31 × 16,351.31
  4. Step 4: Simplify right side
    10,565.63x = 267,365,420.47
  5. Step 5: Solve for x
    x = 267,365,420.47/10,565.63
  6. Step 6: Final answer
    x = 25,305.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.