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Finding the Third Proportional to 39,466 and 60,185

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Solution

The third proportional to 39,466 and 60,185 is: 91,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 60,185 = 60,185 : x
  2. Step 2: Convert to fraction form
    39,466/60,185 = 60,185/x
  3. Step 3: Cross multiply
    39,466x = 60,185 × 60,185
  4. Step 4: Simplify right side
    39,466x = 3,622,234,225
  5. Step 5: Solve for x
    x = 3,622,234,225/39,466
  6. Step 6: Final answer
    x = 91,781.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.