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Finding the Third Proportional to 42,379.03 and 65,661.47

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Solution

The third proportional to 42,379.03 and 65,661.47 is: 101,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,379.03 : 65,661.47 = 65,661.47 : x
  2. Step 2: Convert to fraction form
    42,379.03/65,661.47 = 65,661.47/x
  3. Step 3: Cross multiply
    42,379.03x = 65,661.47 × 65,661.47
  4. Step 4: Simplify right side
    42,379.03x = 4,311,428,478.41
  5. Step 5: Solve for x
    x = 4,311,428,478.41/42,379.03
  6. Step 6: Final answer
    x = 101,734.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.