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Finding the Third Proportional to 1,166.06 and 1,750.78

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Solution

The third proportional to 1,166.06 and 1,750.78 is: 2,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.06 : 1,750.78 = 1,750.78 : x
  2. Step 2: Convert to fraction form
    1,166.06/1,750.78 = 1,750.78/x
  3. Step 3: Cross multiply
    1,166.06x = 1,750.78 × 1,750.78
  4. Step 4: Simplify right side
    1,166.06x = 3,065,234.99
  5. Step 5: Solve for x
    x = 3,065,234.99/1,166.06
  6. Step 6: Final answer
    x = 2,628.71

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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.