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Finding the Third Proportional to 30,909.38 and 67,480.88

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Solution

The third proportional to 30,909.38 and 67,480.88 is: 147,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.38 : 67,480.88 = 67,480.88 : x
  2. Step 2: Convert to fraction form
    30,909.38/67,480.88 = 67,480.88/x
  3. Step 3: Cross multiply
    30,909.38x = 67,480.88 × 67,480.88
  4. Step 4: Simplify right side
    30,909.38x = 4,553,668,490.77
  5. Step 5: Solve for x
    x = 4,553,668,490.77/30,909.38
  6. Step 6: Final answer
    x = 147,323.21

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