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Finding the Third Proportional to 20,270 and 29,331

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Solution

The third proportional to 20,270 and 29,331 is: 42,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270 : 29,331 = 29,331 : x
  2. Step 2: Convert to fraction form
    20,270/29,331 = 29,331/x
  3. Step 3: Cross multiply
    20,270x = 29,331 × 29,331
  4. Step 4: Simplify right side
    20,270x = 860,307,561
  5. Step 5: Solve for x
    x = 860,307,561/20,270
  6. Step 6: Final answer
    x = 42,442.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.