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Finding the Third Proportional to 10,162.13 and 15,904.69

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Solution

The third proportional to 10,162.13 and 15,904.69 is: 24,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.13 : 15,904.69 = 15,904.69 : x
  2. Step 2: Convert to fraction form
    10,162.13/15,904.69 = 15,904.69/x
  3. Step 3: Cross multiply
    10,162.13x = 15,904.69 × 15,904.69
  4. Step 4: Simplify right side
    10,162.13x = 252,959,084.47
  5. Step 5: Solve for x
    x = 252,959,084.47/10,162.13
  6. Step 6: Final answer
    x = 24,892.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.