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Finding the Third Proportional to 13,670 and 20,478

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Solution

The third proportional to 13,670 and 20,478 is: 30,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 20,478 = 20,478 : x
  2. Step 2: Convert to fraction form
    13,670/20,478 = 20,478/x
  3. Step 3: Cross multiply
    13,670x = 20,478 × 20,478
  4. Step 4: Simplify right side
    13,670x = 419,348,484
  5. Step 5: Solve for x
    x = 419,348,484/13,670
  6. Step 6: Final answer
    x = 30,676.55

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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.