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Finding the Third Proportional to 10,864.13 and 17,470.13

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Solution

The third proportional to 10,864.13 and 17,470.13 is: 28,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.13 : 17,470.13 = 17,470.13 : x
  2. Step 2: Convert to fraction form
    10,864.13/17,470.13 = 17,470.13/x
  3. Step 3: Cross multiply
    10,864.13x = 17,470.13 × 17,470.13
  4. Step 4: Simplify right side
    10,864.13x = 305,205,267.52
  5. Step 5: Solve for x
    x = 305,205,267.52/10,864.13
  6. Step 6: Final answer
    x = 28,092.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.