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Finding the Third Proportional to 35,524 and 77,048

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Solution

The third proportional to 35,524 and 77,048 is: 167,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524 : 77,048 = 77,048 : x
  2. Step 2: Convert to fraction form
    35,524/77,048 = 77,048/x
  3. Step 3: Cross multiply
    35,524x = 77,048 × 77,048
  4. Step 4: Simplify right side
    35,524x = 5,936,394,304
  5. Step 5: Solve for x
    x = 5,936,394,304/35,524
  6. Step 6: Final answer
    x = 167,109.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.