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Finding the Third Proportional to 14,102 and 20,721

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Solution

The third proportional to 14,102 and 20,721 is: 30,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 20,721 = 20,721 : x
  2. Step 2: Convert to fraction form
    14,102/20,721 = 20,721/x
  3. Step 3: Cross multiply
    14,102x = 20,721 × 20,721
  4. Step 4: Simplify right side
    14,102x = 429,359,841
  5. Step 5: Solve for x
    x = 429,359,841/14,102
  6. Step 6: Final answer
    x = 30,446.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.