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Finding the Third Proportional to 38,464 and 82,402

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Solution

The third proportional to 38,464 and 82,402 is: 176,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464 : 82,402 = 82,402 : x
  2. Step 2: Convert to fraction form
    38,464/82,402 = 82,402/x
  3. Step 3: Cross multiply
    38,464x = 82,402 × 82,402
  4. Step 4: Simplify right side
    38,464x = 6,790,089,604
  5. Step 5: Solve for x
    x = 6,790,089,604/38,464
  6. Step 6: Final answer
    x = 176,531.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.