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Finding the Third Proportional to 42,475 and 67,479

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Solution

The third proportional to 42,475 and 67,479 is: 107,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,475 : 67,479 = 67,479 : x
  2. Step 2: Convert to fraction form
    42,475/67,479 = 67,479/x
  3. Step 3: Cross multiply
    42,475x = 67,479 × 67,479
  4. Step 4: Simplify right side
    42,475x = 4,553,415,441
  5. Step 5: Solve for x
    x = 4,553,415,441/42,475
  6. Step 6: Final answer
    x = 107,202.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.