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Finding the Third Proportional to 2,715.19 and 2,799.56

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Solution

The third proportional to 2,715.19 and 2,799.56 is: 2,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.19 : 2,799.56 = 2,799.56 : x
  2. Step 2: Convert to fraction form
    2,715.19/2,799.56 = 2,799.56/x
  3. Step 3: Cross multiply
    2,715.19x = 2,799.56 × 2,799.56
  4. Step 4: Simplify right side
    2,715.19x = 7,837,550.19
  5. Step 5: Solve for x
    x = 7,837,550.19/2,715.19
  6. Step 6: Final answer
    x = 2,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.