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Finding the Third Proportional to 20,860 and 32,342

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Solution

The third proportional to 20,860 and 32,342 is: 50,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860 : 32,342 = 32,342 : x
  2. Step 2: Convert to fraction form
    20,860/32,342 = 32,342/x
  3. Step 3: Cross multiply
    20,860x = 32,342 × 32,342
  4. Step 4: Simplify right side
    20,860x = 1,046,004,964
  5. Step 5: Solve for x
    x = 1,046,004,964/20,860
  6. Step 6: Final answer
    x = 50,144.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.