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Finding the Third Proportional to 3,738.75 and 5,434.13

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Solution

The third proportional to 3,738.75 and 5,434.13 is: 7,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.75 : 5,434.13 = 5,434.13 : x
  2. Step 2: Convert to fraction form
    3,738.75/5,434.13 = 5,434.13/x
  3. Step 3: Cross multiply
    3,738.75x = 5,434.13 × 5,434.13
  4. Step 4: Simplify right side
    3,738.75x = 29,529,714.52
  5. Step 5: Solve for x
    x = 29,529,714.52/3,738.75
  6. Step 6: Final answer
    x = 7,898.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.