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Finding the Third Proportional to 20,897 and 29,289

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Solution

The third proportional to 20,897 and 29,289 is: 41,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897 : 29,289 = 29,289 : x
  2. Step 2: Convert to fraction form
    20,897/29,289 = 29,289/x
  3. Step 3: Cross multiply
    20,897x = 29,289 × 29,289
  4. Step 4: Simplify right side
    20,897x = 857,845,521
  5. Step 5: Solve for x
    x = 857,845,521/20,897
  6. Step 6: Final answer
    x = 41,051.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.