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Finding the Third Proportional to 35,414 and 52,311

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Solution

The third proportional to 35,414 and 52,311 is: 77,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414 : 52,311 = 52,311 : x
  2. Step 2: Convert to fraction form
    35,414/52,311 = 52,311/x
  3. Step 3: Cross multiply
    35,414x = 52,311 × 52,311
  4. Step 4: Simplify right side
    35,414x = 2,736,440,721
  5. Step 5: Solve for x
    x = 2,736,440,721/35,414
  6. Step 6: Final answer
    x = 77,270.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.