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Finding the Third Proportional to 40,868 and 62,491

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Solution

The third proportional to 40,868 and 62,491 is: 95,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,868 : 62,491 = 62,491 : x
  2. Step 2: Convert to fraction form
    40,868/62,491 = 62,491/x
  3. Step 3: Cross multiply
    40,868x = 62,491 × 62,491
  4. Step 4: Simplify right side
    40,868x = 3,905,125,081
  5. Step 5: Solve for x
    x = 3,905,125,081/40,868
  6. Step 6: Final answer
    x = 95,554.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.