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Finding the Third Proportional to 20,552 and 28,588

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Solution

The third proportional to 20,552 and 28,588 is: 39,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552 : 28,588 = 28,588 : x
  2. Step 2: Convert to fraction form
    20,552/28,588 = 28,588/x
  3. Step 3: Cross multiply
    20,552x = 28,588 × 28,588
  4. Step 4: Simplify right side
    20,552x = 817,273,744
  5. Step 5: Solve for x
    x = 817,273,744/20,552
  6. Step 6: Final answer
    x = 39,766.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.