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Finding the Third Proportional to 35,262 and 56,691

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Solution

The third proportional to 35,262 and 56,691 is: 91,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262 : 56,691 = 56,691 : x
  2. Step 2: Convert to fraction form
    35,262/56,691 = 56,691/x
  3. Step 3: Cross multiply
    35,262x = 56,691 × 56,691
  4. Step 4: Simplify right side
    35,262x = 3,213,869,481
  5. Step 5: Solve for x
    x = 3,213,869,481/35,262
  6. Step 6: Final answer
    x = 91,142.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.