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Finding the Third Proportional to 10,539 and 22,377

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Solution

The third proportional to 10,539 and 22,377 is: 47,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 22,377 = 22,377 : x
  2. Step 2: Convert to fraction form
    10,539/22,377 = 22,377/x
  3. Step 3: Cross multiply
    10,539x = 22,377 × 22,377
  4. Step 4: Simplify right side
    10,539x = 500,730,129
  5. Step 5: Solve for x
    x = 500,730,129/10,539
  6. Step 6: Final answer
    x = 47,512.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.