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Finding the Third Proportional to 1,288.88 and 2,815.69

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Solution

The third proportional to 1,288.88 and 2,815.69 is: 6,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.88 : 2,815.69 = 2,815.69 : x
  2. Step 2: Convert to fraction form
    1,288.88/2,815.69 = 2,815.69/x
  3. Step 3: Cross multiply
    1,288.88x = 2,815.69 × 2,815.69
  4. Step 4: Simplify right side
    1,288.88x = 7,928,096.10
  5. Step 5: Solve for x
    x = 7,928,096.10/1,288.88
  6. Step 6: Final answer
    x = 6,151.18

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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.