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Finding the Third Proportional to 40,216.50 and 55,363.50

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Solution

The third proportional to 40,216.50 and 55,363.50 is: 76,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.50 : 55,363.50 = 55,363.50 : x
  2. Step 2: Convert to fraction form
    40,216.50/55,363.50 = 55,363.50/x
  3. Step 3: Cross multiply
    40,216.50x = 55,363.50 × 55,363.50
  4. Step 4: Simplify right side
    40,216.50x = 3,065,117,132.25
  5. Step 5: Solve for x
    x = 3,065,117,132.25/40,216.50
  6. Step 6: Final answer
    x = 76,215.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.