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Finding the Third Proportional to 38,371 and 58,358

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Solution

The third proportional to 38,371 and 58,358 is: 88,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,371 : 58,358 = 58,358 : x
  2. Step 2: Convert to fraction form
    38,371/58,358 = 58,358/x
  3. Step 3: Cross multiply
    38,371x = 58,358 × 58,358
  4. Step 4: Simplify right side
    38,371x = 3,405,656,164
  5. Step 5: Solve for x
    x = 3,405,656,164/38,371
  6. Step 6: Final answer
    x = 88,755.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.