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Finding the Third Proportional to 38,377 and 59,207

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Solution

The third proportional to 38,377 and 59,207 is: 91,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377 : 59,207 = 59,207 : x
  2. Step 2: Convert to fraction form
    38,377/59,207 = 59,207/x
  3. Step 3: Cross multiply
    38,377x = 59,207 × 59,207
  4. Step 4: Simplify right side
    38,377x = 3,505,468,849
  5. Step 5: Solve for x
    x = 3,505,468,849/38,377
  6. Step 6: Final answer
    x = 91,342.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.