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Finding the Third Proportional to 41,028 and 62,892

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Solution

The third proportional to 41,028 and 62,892 is: 96,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,028 : 62,892 = 62,892 : x
  2. Step 2: Convert to fraction form
    41,028/62,892 = 62,892/x
  3. Step 3: Cross multiply
    41,028x = 62,892 × 62,892
  4. Step 4: Simplify right side
    41,028x = 3,955,403,664
  5. Step 5: Solve for x
    x = 3,955,403,664/41,028
  6. Step 6: Final answer
    x = 96,407.42

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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.