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Finding the Third Proportional to 34,552 and 55,006

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Solution

The third proportional to 34,552 and 55,006 is: 87,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552 : 55,006 = 55,006 : x
  2. Step 2: Convert to fraction form
    34,552/55,006 = 55,006/x
  3. Step 3: Cross multiply
    34,552x = 55,006 × 55,006
  4. Step 4: Simplify right side
    34,552x = 3,025,660,036
  5. Step 5: Solve for x
    x = 3,025,660,036/34,552
  6. Step 6: Final answer
    x = 87,568.30

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