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Finding the Third Proportional to 20,708 and 32,294

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Solution

The third proportional to 20,708 and 32,294 is: 50,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708 : 32,294 = 32,294 : x
  2. Step 2: Convert to fraction form
    20,708/32,294 = 32,294/x
  3. Step 3: Cross multiply
    20,708x = 32,294 × 32,294
  4. Step 4: Simplify right side
    20,708x = 1,042,902,436
  5. Step 5: Solve for x
    x = 1,042,902,436/20,708
  6. Step 6: Final answer
    x = 50,362.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.