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Finding the Third Proportional to 38,496 and 84,549

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Solution

The third proportional to 38,496 and 84,549 is: 185,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 84,549 = 84,549 : x
  2. Step 2: Convert to fraction form
    38,496/84,549 = 84,549/x
  3. Step 3: Cross multiply
    38,496x = 84,549 × 84,549
  4. Step 4: Simplify right side
    38,496x = 7,148,533,401
  5. Step 5: Solve for x
    x = 7,148,533,401/38,496
  6. Step 6: Final answer
    x = 185,695.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.