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Finding the Third Proportional to 34,511 and 53,439

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Solution

The third proportional to 34,511 and 53,439 is: 82,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511 : 53,439 = 53,439 : x
  2. Step 2: Convert to fraction form
    34,511/53,439 = 53,439/x
  3. Step 3: Cross multiply
    34,511x = 53,439 × 53,439
  4. Step 4: Simplify right side
    34,511x = 2,855,726,721
  5. Step 5: Solve for x
    x = 2,855,726,721/34,511
  6. Step 6: Final answer
    x = 82,748.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.