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Finding the Third Proportional to 6,514.13 and 15,361.88

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Solution

The third proportional to 6,514.13 and 15,361.88 is: 36,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.13 : 15,361.88 = 15,361.88 : x
  2. Step 2: Convert to fraction form
    6,514.13/15,361.88 = 15,361.88/x
  3. Step 3: Cross multiply
    6,514.13x = 15,361.88 × 15,361.88
  4. Step 4: Simplify right side
    6,514.13x = 235,987,203.52
  5. Step 5: Solve for x
    x = 235,987,203.52/6,514.13
  6. Step 6: Final answer
    x = 36,227.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.