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Finding the Third Proportional to 20,473 and 44,549

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Solution

The third proportional to 20,473 and 44,549 is: 96,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473 : 44,549 = 44,549 : x
  2. Step 2: Convert to fraction form
    20,473/44,549 = 44,549/x
  3. Step 3: Cross multiply
    20,473x = 44,549 × 44,549
  4. Step 4: Simplify right side
    20,473x = 1,984,613,401
  5. Step 5: Solve for x
    x = 1,984,613,401/20,473
  6. Step 6: Final answer
    x = 96,938.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.