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Finding the Third Proportional to 33,462 and 48,897

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Solution

The third proportional to 33,462 and 48,897 is: 71,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 48,897 = 48,897 : x
  2. Step 2: Convert to fraction form
    33,462/48,897 = 48,897/x
  3. Step 3: Cross multiply
    33,462x = 48,897 × 48,897
  4. Step 4: Simplify right side
    33,462x = 2,390,916,609
  5. Step 5: Solve for x
    x = 2,390,916,609/33,462
  6. Step 6: Final answer
    x = 71,451.69

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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.