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Finding the Third Proportional to 19,928 and 29,073

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Solution

The third proportional to 19,928 and 29,073 is: 42,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928 : 29,073 = 29,073 : x
  2. Step 2: Convert to fraction form
    19,928/29,073 = 29,073/x
  3. Step 3: Cross multiply
    19,928x = 29,073 × 29,073
  4. Step 4: Simplify right side
    19,928x = 845,239,329
  5. Step 5: Solve for x
    x = 845,239,329/19,928
  6. Step 6: Final answer
    x = 42,414.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.