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Finding the Third Proportional to 40,951.69 and 55,066.50

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Solution

The third proportional to 40,951.69 and 55,066.50 is: 74,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,951.69 : 55,066.50 = 55,066.50 : x
  2. Step 2: Convert to fraction form
    40,951.69/55,066.50 = 55,066.50/x
  3. Step 3: Cross multiply
    40,951.69x = 55,066.50 × 55,066.50
  4. Step 4: Simplify right side
    40,951.69x = 3,032,319,422.25
  5. Step 5: Solve for x
    x = 3,032,319,422.25/40,951.69
  6. Step 6: Final answer
    x = 74,046.26

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.