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Finding the Third Proportional to 40,116 and 62,366

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Solution

The third proportional to 40,116 and 62,366 is: 96,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,116 : 62,366 = 62,366 : x
  2. Step 2: Convert to fraction form
    40,116/62,366 = 62,366/x
  3. Step 3: Cross multiply
    40,116x = 62,366 × 62,366
  4. Step 4: Simplify right side
    40,116x = 3,889,517,956
  5. Step 5: Solve for x
    x = 3,889,517,956/40,116
  6. Step 6: Final answer
    x = 96,956.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.