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Finding the Third Proportional to 34,542 and 53,337

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Solution

The third proportional to 34,542 and 53,337 is: 82,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542 : 53,337 = 53,337 : x
  2. Step 2: Convert to fraction form
    34,542/53,337 = 53,337/x
  3. Step 3: Cross multiply
    34,542x = 53,337 × 53,337
  4. Step 4: Simplify right side
    34,542x = 2,844,835,569
  5. Step 5: Solve for x
    x = 2,844,835,569/34,542
  6. Step 6: Final answer
    x = 82,358.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.