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Finding the Third Proportional to 35,738.75 and 52,414

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Solution

The third proportional to 35,738.75 and 52,414 is: 76,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.75 : 52,414 = 52,414 : x
  2. Step 2: Convert to fraction form
    35,738.75/52,414 = 52,414/x
  3. Step 3: Cross multiply
    35,738.75x = 52,414 × 52,414
  4. Step 4: Simplify right side
    35,738.75x = 2,747,227,396
  5. Step 5: Solve for x
    x = 2,747,227,396/35,738.75
  6. Step 6: Final answer
    x = 76,869.71

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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.