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Finding the Third Proportional to 38,963 and 85,217

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Solution

The third proportional to 38,963 and 85,217 is: 186,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963 : 85,217 = 85,217 : x
  2. Step 2: Convert to fraction form
    38,963/85,217 = 85,217/x
  3. Step 3: Cross multiply
    38,963x = 85,217 × 85,217
  4. Step 4: Simplify right side
    38,963x = 7,261,937,089
  5. Step 5: Solve for x
    x = 7,261,937,089/38,963
  6. Step 6: Final answer
    x = 186,380.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.