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Finding the Third Proportional to 14,371 and 22,073

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Solution

The third proportional to 14,371 and 22,073 is: 33,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371 : 22,073 = 22,073 : x
  2. Step 2: Convert to fraction form
    14,371/22,073 = 22,073/x
  3. Step 3: Cross multiply
    14,371x = 22,073 × 22,073
  4. Step 4: Simplify right side
    14,371x = 487,217,329
  5. Step 5: Solve for x
    x = 487,217,329/14,371
  6. Step 6: Final answer
    x = 33,902.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.