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Finding the Third Proportional to 40,096 and 62,376

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Solution

The third proportional to 40,096 and 62,376 is: 97,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,096 : 62,376 = 62,376 : x
  2. Step 2: Convert to fraction form
    40,096/62,376 = 62,376/x
  3. Step 3: Cross multiply
    40,096x = 62,376 × 62,376
  4. Step 4: Simplify right side
    40,096x = 3,890,765,376
  5. Step 5: Solve for x
    x = 3,890,765,376/40,096
  6. Step 6: Final answer
    x = 97,036.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.