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Finding the Third Proportional to 6,515.97 and 14,226.89

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Solution

The third proportional to 6,515.97 and 14,226.89 is: 31,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.97 : 14,226.89 = 14,226.89 : x
  2. Step 2: Convert to fraction form
    6,515.97/14,226.89 = 14,226.89/x
  3. Step 3: Cross multiply
    6,515.97x = 14,226.89 × 14,226.89
  4. Step 4: Simplify right side
    6,515.97x = 202,404,416.86
  5. Step 5: Solve for x
    x = 202,404,416.86/6,515.97
  6. Step 6: Final answer
    x = 31,062.82

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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.