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Finding the Third Proportional to 10,337 and 22,309

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Solution

The third proportional to 10,337 and 22,309 is: 48,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337 : 22,309 = 22,309 : x
  2. Step 2: Convert to fraction form
    10,337/22,309 = 22,309/x
  3. Step 3: Cross multiply
    10,337x = 22,309 × 22,309
  4. Step 4: Simplify right side
    10,337x = 497,691,481
  5. Step 5: Solve for x
    x = 497,691,481/10,337
  6. Step 6: Final answer
    x = 48,146.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.