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Finding the Third Proportional to 35,449 and 77,337

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Solution

The third proportional to 35,449 and 77,337 is: 168,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,449 : 77,337 = 77,337 : x
  2. Step 2: Convert to fraction form
    35,449/77,337 = 77,337/x
  3. Step 3: Cross multiply
    35,449x = 77,337 × 77,337
  4. Step 4: Simplify right side
    35,449x = 5,981,011,569
  5. Step 5: Solve for x
    x = 5,981,011,569/35,449
  6. Step 6: Final answer
    x = 168,721.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.