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Finding the Third Proportional to 20,585 and 29,581

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Solution

The third proportional to 20,585 and 29,581 is: 42,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 29,581 = 29,581 : x
  2. Step 2: Convert to fraction form
    20,585/29,581 = 29,581/x
  3. Step 3: Cross multiply
    20,585x = 29,581 × 29,581
  4. Step 4: Simplify right side
    20,585x = 875,035,561
  5. Step 5: Solve for x
    x = 875,035,561/20,585
  6. Step 6: Final answer
    x = 42,508.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.