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Finding the Third Proportional to 41,856.75 and 54,280.13

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Solution

The third proportional to 41,856.75 and 54,280.13 is: 70,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 54,280.13 = 54,280.13 : x
  2. Step 2: Convert to fraction form
    41,856.75/54,280.13 = 54,280.13/x
  3. Step 3: Cross multiply
    41,856.75x = 54,280.13 × 54,280.13
  4. Step 4: Simplify right side
    41,856.75x = 2,946,331,970.02
  5. Step 5: Solve for x
    x = 2,946,331,970.02/41,856.75
  6. Step 6: Final answer
    x = 70,390.84

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.