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Finding the Third Proportional to 38,864 and 85,342

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Solution

The third proportional to 38,864 and 85,342 is: 187,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864 : 85,342 = 85,342 : x
  2. Step 2: Convert to fraction form
    38,864/85,342 = 85,342/x
  3. Step 3: Cross multiply
    38,864x = 85,342 × 85,342
  4. Step 4: Simplify right side
    38,864x = 7,283,256,964
  5. Step 5: Solve for x
    x = 7,283,256,964/38,864
  6. Step 6: Final answer
    x = 187,403.69

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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.