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Finding the Third Proportional to 1,330.88 and 2,799.69

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Solution

The third proportional to 1,330.88 and 2,799.69 is: 5,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.88 : 2,799.69 = 2,799.69 : x
  2. Step 2: Convert to fraction form
    1,330.88/2,799.69 = 2,799.69/x
  3. Step 3: Cross multiply
    1,330.88x = 2,799.69 × 2,799.69
  4. Step 4: Simplify right side
    1,330.88x = 7,838,250.10
  5. Step 5: Solve for x
    x = 7,838,250.10/1,330.88
  6. Step 6: Final answer
    x = 5,889.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.