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Finding the Third Proportional to 3,725.37 and 5,387.13

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Solution

The third proportional to 3,725.37 and 5,387.13 is: 7,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.37 : 5,387.13 = 5,387.13 : x
  2. Step 2: Convert to fraction form
    3,725.37/5,387.13 = 5,387.13/x
  3. Step 3: Cross multiply
    3,725.37x = 5,387.13 × 5,387.13
  4. Step 4: Simplify right side
    3,725.37x = 29,021,199.94
  5. Step 5: Solve for x
    x = 29,021,199.94/3,725.37
  6. Step 6: Final answer
    x = 7,790.16

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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.