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Finding the Third Proportional to 2,377.69 and 2,580.19

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Solution

The third proportional to 2,377.69 and 2,580.19 is: 2,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.69 : 2,580.19 = 2,580.19 : x
  2. Step 2: Convert to fraction form
    2,377.69/2,580.19 = 2,580.19/x
  3. Step 3: Cross multiply
    2,377.69x = 2,580.19 × 2,580.19
  4. Step 4: Simplify right side
    2,377.69x = 6,657,367.54
  5. Step 5: Solve for x
    x = 6,657,367.54/2,377.69
  6. Step 6: Final answer
    x = 2,799.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.