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Finding the Third Proportional to 10,531.69 and 15,864.19

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Solution

The third proportional to 10,531.69 and 15,864.19 is: 23,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.69 : 15,864.19 = 15,864.19 : x
  2. Step 2: Convert to fraction form
    10,531.69/15,864.19 = 15,864.19/x
  3. Step 3: Cross multiply
    10,531.69x = 15,864.19 × 15,864.19
  4. Step 4: Simplify right side
    10,531.69x = 251,672,445.04
  5. Step 5: Solve for x
    x = 251,672,445.04/10,531.69
  6. Step 6: Final answer
    x = 23,896.69

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Why These Related Problems?

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