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Finding the Third Proportional to 39,648 and 58,377

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Solution

The third proportional to 39,648 and 58,377 is: 85,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 58,377 = 58,377 : x
  2. Step 2: Convert to fraction form
    39,648/58,377 = 58,377/x
  3. Step 3: Cross multiply
    39,648x = 58,377 × 58,377
  4. Step 4: Simplify right side
    39,648x = 3,407,874,129
  5. Step 5: Solve for x
    x = 3,407,874,129/39,648
  6. Step 6: Final answer
    x = 85,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.