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Finding the Third Proportional to 1,515.67 and 2,036.79

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Solution

The third proportional to 1,515.67 and 2,036.79 is: 2,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.67 : 2,036.79 = 2,036.79 : x
  2. Step 2: Convert to fraction form
    1,515.67/2,036.79 = 2,036.79/x
  3. Step 3: Cross multiply
    1,515.67x = 2,036.79 × 2,036.79
  4. Step 4: Simplify right side
    1,515.67x = 4,148,497.75
  5. Step 5: Solve for x
    x = 4,148,497.75/1,515.67
  6. Step 6: Final answer
    x = 2,737.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.