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Finding the Third Proportional to 21,342 and 32,022

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Solution

The third proportional to 21,342 and 32,022 is: 48,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342 : 32,022 = 32,022 : x
  2. Step 2: Convert to fraction form
    21,342/32,022 = 32,022/x
  3. Step 3: Cross multiply
    21,342x = 32,022 × 32,022
  4. Step 4: Simplify right side
    21,342x = 1,025,408,484
  5. Step 5: Solve for x
    x = 1,025,408,484/21,342
  6. Step 6: Final answer
    x = 48,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.