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Finding the Third Proportional to 6,514.88 and 14,224.69

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Solution

The third proportional to 6,514.88 and 14,224.69 is: 31,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.88 : 14,224.69 = 14,224.69 : x
  2. Step 2: Convert to fraction form
    6,514.88/14,224.69 = 14,224.69/x
  3. Step 3: Cross multiply
    6,514.88x = 14,224.69 × 14,224.69
  4. Step 4: Simplify right side
    6,514.88x = 202,341,734.47
  5. Step 5: Solve for x
    x = 202,341,734.47/6,514.88
  6. Step 6: Final answer
    x = 31,058.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.