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Finding the Third Proportional to 40,048 and 62,272

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Solution

The third proportional to 40,048 and 62,272 is: 96,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,048 : 62,272 = 62,272 : x
  2. Step 2: Convert to fraction form
    40,048/62,272 = 62,272/x
  3. Step 3: Cross multiply
    40,048x = 62,272 × 62,272
  4. Step 4: Simplify right side
    40,048x = 3,877,801,984
  5. Step 5: Solve for x
    x = 3,877,801,984/40,048
  6. Step 6: Final answer
    x = 96,828.85

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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.