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Finding the Third Proportional to 40,642.50 and 55,368.75

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Solution

The third proportional to 40,642.50 and 55,368.75 is: 75,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642.50 : 55,368.75 = 55,368.75 : x
  2. Step 2: Convert to fraction form
    40,642.50/55,368.75 = 55,368.75/x
  3. Step 3: Cross multiply
    40,642.50x = 55,368.75 × 55,368.75
  4. Step 4: Simplify right side
    40,642.50x = 3,065,698,476.56
  5. Step 5: Solve for x
    x = 3,065,698,476.56/40,642.50
  6. Step 6: Final answer
    x = 75,430.85

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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.