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Finding the Third Proportional to 45,879.13 and 67,965.88

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Solution

The third proportional to 45,879.13 and 67,965.88 is: 100,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,879.13 : 67,965.88 = 67,965.88 : x
  2. Step 2: Convert to fraction form
    45,879.13/67,965.88 = 67,965.88/x
  3. Step 3: Cross multiply
    45,879.13x = 67,965.88 × 67,965.88
  4. Step 4: Simplify right side
    45,879.13x = 4,619,360,164.52
  5. Step 5: Solve for x
    x = 4,619,360,164.52/45,879.13
  6. Step 6: Final answer
    x = 100,685.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.