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Finding the Third Proportional to 34,541 and 52,486

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Solution

The third proportional to 34,541 and 52,486 is: 79,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,541 : 52,486 = 52,486 : x
  2. Step 2: Convert to fraction form
    34,541/52,486 = 52,486/x
  3. Step 3: Cross multiply
    34,541x = 52,486 × 52,486
  4. Step 4: Simplify right side
    34,541x = 2,754,780,196
  5. Step 5: Solve for x
    x = 2,754,780,196/34,541
  6. Step 6: Final answer
    x = 79,753.92

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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.