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Finding the Third Proportional to 22,449 and 32,628

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Solution

The third proportional to 22,449 and 32,628 is: 47,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449 : 32,628 = 32,628 : x
  2. Step 2: Convert to fraction form
    22,449/32,628 = 32,628/x
  3. Step 3: Cross multiply
    22,449x = 32,628 × 32,628
  4. Step 4: Simplify right side
    22,449x = 1,064,586,384
  5. Step 5: Solve for x
    x = 1,064,586,384/22,449
  6. Step 6: Final answer
    x = 47,422.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.