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Finding the Third Proportional to 10,775.25 and 16,175.81

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Solution

The third proportional to 10,775.25 and 16,175.81 is: 24,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.25 : 16,175.81 = 16,175.81 : x
  2. Step 2: Convert to fraction form
    10,775.25/16,175.81 = 16,175.81/x
  3. Step 3: Cross multiply
    10,775.25x = 16,175.81 × 16,175.81
  4. Step 4: Simplify right side
    10,775.25x = 261,656,910.04
  5. Step 5: Solve for x
    x = 261,656,910.04/10,775.25
  6. Step 6: Final answer
    x = 24,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.