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Finding the Third Proportional to 10,974.87 and 17,670.66

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Solution

The third proportional to 10,974.87 and 17,670.66 is: 28,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.87 : 17,670.66 = 17,670.66 : x
  2. Step 2: Convert to fraction form
    10,974.87/17,670.66 = 17,670.66/x
  3. Step 3: Cross multiply
    10,974.87x = 17,670.66 × 17,670.66
  4. Step 4: Simplify right side
    10,974.87x = 312,252,092.31
  5. Step 5: Solve for x
    x = 312,252,092.31/10,974.87
  6. Step 6: Final answer
    x = 28,451.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.