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Finding the Third Proportional to 45,382.50 and 59,712.75

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Solution

The third proportional to 45,382.50 and 59,712.75 is: 78,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,382.50 : 59,712.75 = 59,712.75 : x
  2. Step 2: Convert to fraction form
    45,382.50/59,712.75 = 59,712.75/x
  3. Step 3: Cross multiply
    45,382.50x = 59,712.75 × 59,712.75
  4. Step 4: Simplify right side
    45,382.50x = 3,565,612,512.56
  5. Step 5: Solve for x
    x = 3,565,612,512.56/45,382.50
  6. Step 6: Final answer
    x = 78,568.01

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.