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Finding the Third Proportional to 35,458 and 52,486

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Solution

The third proportional to 35,458 and 52,486 is: 77,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,458 : 52,486 = 52,486 : x
  2. Step 2: Convert to fraction form
    35,458/52,486 = 52,486/x
  3. Step 3: Cross multiply
    35,458x = 52,486 × 52,486
  4. Step 4: Simplify right side
    35,458x = 2,754,780,196
  5. Step 5: Solve for x
    x = 2,754,780,196/35,458
  6. Step 6: Final answer
    x = 77,691.36

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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.