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Finding the Third Proportional to 34,665 and 55,103

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Solution

The third proportional to 34,665 and 55,103 is: 87,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,665 : 55,103 = 55,103 : x
  2. Step 2: Convert to fraction form
    34,665/55,103 = 55,103/x
  3. Step 3: Cross multiply
    34,665x = 55,103 × 55,103
  4. Step 4: Simplify right side
    34,665x = 3,036,340,609
  5. Step 5: Solve for x
    x = 3,036,340,609/34,665
  6. Step 6: Final answer
    x = 87,590.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.