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Finding the Third Proportional to 22,982 and 32,521

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Solution

The third proportional to 22,982 and 32,521 is: 46,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982 : 32,521 = 32,521 : x
  2. Step 2: Convert to fraction form
    22,982/32,521 = 32,521/x
  3. Step 3: Cross multiply
    22,982x = 32,521 × 32,521
  4. Step 4: Simplify right side
    22,982x = 1,057,615,441
  5. Step 5: Solve for x
    x = 1,057,615,441/22,982
  6. Step 6: Final answer
    x = 46,019.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.