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Finding the Third Proportional to 20,006 and 29,897

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Solution

The third proportional to 20,006 and 29,897 is: 44,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006 : 29,897 = 29,897 : x
  2. Step 2: Convert to fraction form
    20,006/29,897 = 29,897/x
  3. Step 3: Cross multiply
    20,006x = 29,897 × 29,897
  4. Step 4: Simplify right side
    20,006x = 893,830,609
  5. Step 5: Solve for x
    x = 893,830,609/20,006
  6. Step 6: Final answer
    x = 44,678.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.