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Finding the Third Proportional to 1,540.88 and 2,351.06

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Solution

The third proportional to 1,540.88 and 2,351.06 is: 3,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.88 : 2,351.06 = 2,351.06 : x
  2. Step 2: Convert to fraction form
    1,540.88/2,351.06 = 2,351.06/x
  3. Step 3: Cross multiply
    1,540.88x = 2,351.06 × 2,351.06
  4. Step 4: Simplify right side
    1,540.88x = 5,527,494.88
  5. Step 5: Solve for x
    x = 5,527,494.88/1,540.88
  6. Step 6: Final answer
    x = 3,587.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.