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Finding the Third Proportional to 2,377.48 and 5,073.26

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Solution

The third proportional to 2,377.48 and 5,073.26 is: 10,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.48 : 5,073.26 = 5,073.26 : x
  2. Step 2: Convert to fraction form
    2,377.48/5,073.26 = 5,073.26/x
  3. Step 3: Cross multiply
    2,377.48x = 5,073.26 × 5,073.26
  4. Step 4: Simplify right side
    2,377.48x = 25,737,944.83
  5. Step 5: Solve for x
    x = 25,737,944.83/2,377.48
  6. Step 6: Final answer
    x = 10,825.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.