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Finding the Third Proportional to 2,372.91 and 3,927.09

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Solution

The third proportional to 2,372.91 and 3,927.09 is: 6,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.91 : 3,927.09 = 3,927.09 : x
  2. Step 2: Convert to fraction form
    2,372.91/3,927.09 = 3,927.09/x
  3. Step 3: Cross multiply
    2,372.91x = 3,927.09 × 3,927.09
  4. Step 4: Simplify right side
    2,372.91x = 15,422,065.32
  5. Step 5: Solve for x
    x = 15,422,065.32/2,372.91
  6. Step 6: Final answer
    x = 6,499.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.