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Finding the Third Proportional to 38,840 and 82,304

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Solution

The third proportional to 38,840 and 82,304 is: 174,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840 : 82,304 = 82,304 : x
  2. Step 2: Convert to fraction form
    38,840/82,304 = 82,304/x
  3. Step 3: Cross multiply
    38,840x = 82,304 × 82,304
  4. Step 4: Simplify right side
    38,840x = 6,773,948,416
  5. Step 5: Solve for x
    x = 6,773,948,416/38,840
  6. Step 6: Final answer
    x = 174,406.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.