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Finding the Third Proportional to 22,534 and 32,638

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Solution

The third proportional to 22,534 and 32,638 is: 47,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534 : 32,638 = 32,638 : x
  2. Step 2: Convert to fraction form
    22,534/32,638 = 32,638/x
  3. Step 3: Cross multiply
    22,534x = 32,638 × 32,638
  4. Step 4: Simplify right side
    22,534x = 1,065,239,044
  5. Step 5: Solve for x
    x = 1,065,239,044/22,534
  6. Step 6: Final answer
    x = 47,272.52

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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.