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Finding the Third Proportional to 2,380.13 and 5,125.69

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Solution

The third proportional to 2,380.13 and 5,125.69 is: 11,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.13 : 5,125.69 = 5,125.69 : x
  2. Step 2: Convert to fraction form
    2,380.13/5,125.69 = 5,125.69/x
  3. Step 3: Cross multiply
    2,380.13x = 5,125.69 × 5,125.69
  4. Step 4: Simplify right side
    2,380.13x = 26,272,672.35
  5. Step 5: Solve for x
    x = 26,272,672.35/2,380.13
  6. Step 6: Final answer
    x = 11,038.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.