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Finding the Third Proportional to 40,243 and 62,665

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Solution

The third proportional to 40,243 and 62,665 is: 97,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243 : 62,665 = 62,665 : x
  2. Step 2: Convert to fraction form
    40,243/62,665 = 62,665/x
  3. Step 3: Cross multiply
    40,243x = 62,665 × 62,665
  4. Step 4: Simplify right side
    40,243x = 3,926,902,225
  5. Step 5: Solve for x
    x = 3,926,902,225/40,243
  6. Step 6: Final answer
    x = 97,579.76

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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.