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Finding the Third Proportional to 10,731.75 and 14,329.13

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Solution

The third proportional to 10,731.75 and 14,329.13 is: 19,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.75 : 14,329.13 = 14,329.13 : x
  2. Step 2: Convert to fraction form
    10,731.75/14,329.13 = 14,329.13/x
  3. Step 3: Cross multiply
    10,731.75x = 14,329.13 × 14,329.13
  4. Step 4: Simplify right side
    10,731.75x = 205,323,823.27
  5. Step 5: Solve for x
    x = 205,323,823.27/10,731.75
  6. Step 6: Final answer
    x = 19,132.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.