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Finding the Third Proportional to 20,549 and 44,581

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Solution

The third proportional to 20,549 and 44,581 is: 96,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549 : 44,581 = 44,581 : x
  2. Step 2: Convert to fraction form
    20,549/44,581 = 44,581/x
  3. Step 3: Cross multiply
    20,549x = 44,581 × 44,581
  4. Step 4: Simplify right side
    20,549x = 1,987,465,561
  5. Step 5: Solve for x
    x = 1,987,465,561/20,549
  6. Step 6: Final answer
    x = 96,718.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.