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Finding the Third Proportional to 10,534 and 22,686

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Solution

The third proportional to 10,534 and 22,686 is: 48,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 22,686 = 22,686 : x
  2. Step 2: Convert to fraction form
    10,534/22,686 = 22,686/x
  3. Step 3: Cross multiply
    10,534x = 22,686 × 22,686
  4. Step 4: Simplify right side
    10,534x = 514,654,596
  5. Step 5: Solve for x
    x = 514,654,596/10,534
  6. Step 6: Final answer
    x = 48,856.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.