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Finding the Third Proportional to 40,690.50 and 55,429.50

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Solution

The third proportional to 40,690.50 and 55,429.50 is: 75,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,690.50 : 55,429.50 = 55,429.50 : x
  2. Step 2: Convert to fraction form
    40,690.50/55,429.50 = 55,429.50/x
  3. Step 3: Cross multiply
    40,690.50x = 55,429.50 × 55,429.50
  4. Step 4: Simplify right side
    40,690.50x = 3,072,429,470.25
  5. Step 5: Solve for x
    x = 3,072,429,470.25/40,690.50
  6. Step 6: Final answer
    x = 75,507.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.