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Finding the Third Proportional to 29,419 and 44,897

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Solution

The third proportional to 29,419 and 44,897 is: 68,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419 : 44,897 = 44,897 : x
  2. Step 2: Convert to fraction form
    29,419/44,897 = 44,897/x
  3. Step 3: Cross multiply
    29,419x = 44,897 × 44,897
  4. Step 4: Simplify right side
    29,419x = 2,015,740,609
  5. Step 5: Solve for x
    x = 2,015,740,609/29,419
  6. Step 6: Final answer
    x = 68,518.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.