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Finding the Third Proportional to 41,290 and 60,963

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Solution

The third proportional to 41,290 and 60,963 is: 90,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,290 : 60,963 = 60,963 : x
  2. Step 2: Convert to fraction form
    41,290/60,963 = 60,963/x
  3. Step 3: Cross multiply
    41,290x = 60,963 × 60,963
  4. Step 4: Simplify right side
    41,290x = 3,716,487,369
  5. Step 5: Solve for x
    x = 3,716,487,369/41,290
  6. Step 6: Final answer
    x = 90,009.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.