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Finding the Third Proportional to 10,580 and 15,542

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Solution

The third proportional to 10,580 and 15,542 is: 22,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 15,542 = 15,542 : x
  2. Step 2: Convert to fraction form
    10,580/15,542 = 15,542/x
  3. Step 3: Cross multiply
    10,580x = 15,542 × 15,542
  4. Step 4: Simplify right side
    10,580x = 241,553,764
  5. Step 5: Solve for x
    x = 241,553,764/10,580
  6. Step 6: Final answer
    x = 22,831.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.