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Finding the Third Proportional to 41,388 and 55,042.50

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Solution

The third proportional to 41,388 and 55,042.50 is: 73,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,388 : 55,042.50 = 55,042.50 : x
  2. Step 2: Convert to fraction form
    41,388/55,042.50 = 55,042.50/x
  3. Step 3: Cross multiply
    41,388x = 55,042.50 × 55,042.50
  4. Step 4: Simplify right side
    41,388x = 3,029,676,806.25
  5. Step 5: Solve for x
    x = 3,029,676,806.25/41,388
  6. Step 6: Final answer
    x = 73,201.82

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.