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Finding the Third Proportional to 22,272 and 39,596

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Solution

The third proportional to 22,272 and 39,596 is: 70,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272 : 39,596 = 39,596 : x
  2. Step 2: Convert to fraction form
    22,272/39,596 = 39,596/x
  3. Step 3: Cross multiply
    22,272x = 39,596 × 39,596
  4. Step 4: Simplify right side
    22,272x = 1,567,843,216
  5. Step 5: Solve for x
    x = 1,567,843,216/22,272
  6. Step 6: Final answer
    x = 70,395.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.