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Finding the Third Proportional to 3,065.63 and 6,616.97

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Solution

The third proportional to 3,065.63 and 6,616.97 is: 14,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.63 : 6,616.97 = 6,616.97 : x
  2. Step 2: Convert to fraction form
    3,065.63/6,616.97 = 6,616.97/x
  3. Step 3: Cross multiply
    3,065.63x = 6,616.97 × 6,616.97
  4. Step 4: Simplify right side
    3,065.63x = 43,784,275.44
  5. Step 5: Solve for x
    x = 43,784,275.44/3,065.63
  6. Step 6: Final answer
    x = 14,282.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.