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Finding the Third Proportional to 10,677.29 and 15,927.65

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Solution

The third proportional to 10,677.29 and 15,927.65 is: 23,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.29 : 15,927.65 = 15,927.65 : x
  2. Step 2: Convert to fraction form
    10,677.29/15,927.65 = 15,927.65/x
  3. Step 3: Cross multiply
    10,677.29x = 15,927.65 × 15,927.65
  4. Step 4: Simplify right side
    10,677.29x = 253,690,140.29
  5. Step 5: Solve for x
    x = 253,690,140.29/10,677.29
  6. Step 6: Final answer
    x = 23,759.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.