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Finding the Third Proportional to 1,170.28 and 2,546.16

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Solution

The third proportional to 1,170.28 and 2,546.16 is: 5,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.28 : 2,546.16 = 2,546.16 : x
  2. Step 2: Convert to fraction form
    1,170.28/2,546.16 = 2,546.16/x
  3. Step 3: Cross multiply
    1,170.28x = 2,546.16 × 2,546.16
  4. Step 4: Simplify right side
    1,170.28x = 6,482,911.65
  5. Step 5: Solve for x
    x = 6,482,911.65/1,170.28
  6. Step 6: Final answer
    x = 5,539.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.