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Finding the Third Proportional to 41,310 and 55,363.50

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Solution

The third proportional to 41,310 and 55,363.50 is: 74,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 55,363.50 = 55,363.50 : x
  2. Step 2: Convert to fraction form
    41,310/55,363.50 = 55,363.50/x
  3. Step 3: Cross multiply
    41,310x = 55,363.50 × 55,363.50
  4. Step 4: Simplify right side
    41,310x = 3,065,117,132.25
  5. Step 5: Solve for x
    x = 3,065,117,132.25/41,310
  6. Step 6: Final answer
    x = 74,197.95

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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.