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Finding the Third Proportional to 40,828 and 62,457

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Solution

The third proportional to 40,828 and 62,457 is: 95,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,828 : 62,457 = 62,457 : x
  2. Step 2: Convert to fraction form
    40,828/62,457 = 62,457/x
  3. Step 3: Cross multiply
    40,828x = 62,457 × 62,457
  4. Step 4: Simplify right side
    40,828x = 3,900,876,849
  5. Step 5: Solve for x
    x = 3,900,876,849/40,828
  6. Step 6: Final answer
    x = 95,544.16

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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.