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Finding the Third Proportional to 21,200 and 29,071

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Solution

The third proportional to 21,200 and 29,071 is: 39,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200 : 29,071 = 29,071 : x
  2. Step 2: Convert to fraction form
    21,200/29,071 = 29,071/x
  3. Step 3: Cross multiply
    21,200x = 29,071 × 29,071
  4. Step 4: Simplify right side
    21,200x = 845,123,041
  5. Step 5: Solve for x
    x = 845,123,041/21,200
  6. Step 6: Final answer
    x = 39,864.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.