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Finding the Third Proportional to 39,741.75 and 55,702.13

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Solution

The third proportional to 39,741.75 and 55,702.13 is: 78,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,741.75 : 55,702.13 = 55,702.13 : x
  2. Step 2: Convert to fraction form
    39,741.75/55,702.13 = 55,702.13/x
  3. Step 3: Cross multiply
    39,741.75x = 55,702.13 × 55,702.13
  4. Step 4: Simplify right side
    39,741.75x = 3,102,726,729.52
  5. Step 5: Solve for x
    x = 3,102,726,729.52/39,741.75
  6. Step 6: Final answer
    x = 78,072.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.