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Finding the Third Proportional to 34,660 and 55,102

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Solution

The third proportional to 34,660 and 55,102 is: 87,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660 : 55,102 = 55,102 : x
  2. Step 2: Convert to fraction form
    34,660/55,102 = 55,102/x
  3. Step 3: Cross multiply
    34,660x = 55,102 × 55,102
  4. Step 4: Simplify right side
    34,660x = 3,036,230,404
  5. Step 5: Solve for x
    x = 3,036,230,404/34,660
  6. Step 6: Final answer
    x = 87,600.42

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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.