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Finding the Third Proportional to 2,710.26 and 4,065.39

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Solution

The third proportional to 2,710.26 and 4,065.39 is: 6,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.26 : 4,065.39 = 4,065.39 : x
  2. Step 2: Convert to fraction form
    2,710.26/4,065.39 = 4,065.39/x
  3. Step 3: Cross multiply
    2,710.26x = 4,065.39 × 4,065.39
  4. Step 4: Simplify right side
    2,710.26x = 16,527,357.26
  5. Step 5: Solve for x
    x = 16,527,357.26/2,710.26
  6. Step 6: Final answer
    x = 6,098.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.