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Finding the Third Proportional to 20,342 and 32,151

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Solution

The third proportional to 20,342 and 32,151 is: 50,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342 : 32,151 = 32,151 : x
  2. Step 2: Convert to fraction form
    20,342/32,151 = 32,151/x
  3. Step 3: Cross multiply
    20,342x = 32,151 × 32,151
  4. Step 4: Simplify right side
    20,342x = 1,033,686,801
  5. Step 5: Solve for x
    x = 1,033,686,801/20,342
  6. Step 6: Final answer
    x = 50,815.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.