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Finding the Third Proportional to 34,128 and 52,377

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Solution

The third proportional to 34,128 and 52,377 is: 80,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128 : 52,377 = 52,377 : x
  2. Step 2: Convert to fraction form
    34,128/52,377 = 52,377/x
  3. Step 3: Cross multiply
    34,128x = 52,377 × 52,377
  4. Step 4: Simplify right side
    34,128x = 2,743,350,129
  5. Step 5: Solve for x
    x = 2,743,350,129/34,128
  6. Step 6: Final answer
    x = 80,384.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.