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Finding the Third Proportional to 41,643 and 54,040.50

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Solution

The third proportional to 41,643 and 54,040.50 is: 70,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643 : 54,040.50 = 54,040.50 : x
  2. Step 2: Convert to fraction form
    41,643/54,040.50 = 54,040.50/x
  3. Step 3: Cross multiply
    41,643x = 54,040.50 × 54,040.50
  4. Step 4: Simplify right side
    41,643x = 2,920,375,640.25
  5. Step 5: Solve for x
    x = 2,920,375,640.25/41,643
  6. Step 6: Final answer
    x = 70,128.85

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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.