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Finding the Third Proportional to 40,288 and 60,468

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Solution

The third proportional to 40,288 and 60,468 is: 90,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288 : 60,468 = 60,468 : x
  2. Step 2: Convert to fraction form
    40,288/60,468 = 60,468/x
  3. Step 3: Cross multiply
    40,288x = 60,468 × 60,468
  4. Step 4: Simplify right side
    40,288x = 3,656,379,024
  5. Step 5: Solve for x
    x = 3,656,379,024/40,288
  6. Step 6: Final answer
    x = 90,756.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.