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Finding the Third Proportional to 10,354 and 22,712

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Solution

The third proportional to 10,354 and 22,712 is: 49,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354 : 22,712 = 22,712 : x
  2. Step 2: Convert to fraction form
    10,354/22,712 = 22,712/x
  3. Step 3: Cross multiply
    10,354x = 22,712 × 22,712
  4. Step 4: Simplify right side
    10,354x = 515,834,944
  5. Step 5: Solve for x
    x = 515,834,944/10,354
  6. Step 6: Final answer
    x = 49,819.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.