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Finding the Third Proportional to 20,564 and 29,118

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Solution

The third proportional to 20,564 and 29,118 is: 41,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 29,118 = 29,118 : x
  2. Step 2: Convert to fraction form
    20,564/29,118 = 29,118/x
  3. Step 3: Cross multiply
    20,564x = 29,118 × 29,118
  4. Step 4: Simplify right side
    20,564x = 847,857,924
  5. Step 5: Solve for x
    x = 847,857,924/20,564
  6. Step 6: Final answer
    x = 41,230.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.