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Finding the Third Proportional to 1,291.46 and 2,799.16

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Solution

The third proportional to 1,291.46 and 2,799.16 is: 6,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.46 : 2,799.16 = 2,799.16 : x
  2. Step 2: Convert to fraction form
    1,291.46/2,799.16 = 2,799.16/x
  3. Step 3: Cross multiply
    1,291.46x = 2,799.16 × 2,799.16
  4. Step 4: Simplify right side
    1,291.46x = 7,835,280.50
  5. Step 5: Solve for x
    x = 7,835,280.50/1,291.46
  6. Step 6: Final answer
    x = 6,067.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.