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Finding the Third Proportional to 40,017 and 62,037

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Solution

The third proportional to 40,017 and 62,037 is: 96,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,017 : 62,037 = 62,037 : x
  2. Step 2: Convert to fraction form
    40,017/62,037 = 62,037/x
  3. Step 3: Cross multiply
    40,017x = 62,037 × 62,037
  4. Step 4: Simplify right side
    40,017x = 3,848,589,369
  5. Step 5: Solve for x
    x = 3,848,589,369/40,017
  6. Step 6: Final answer
    x = 96,173.86

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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.