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Finding the Third Proportional to 2,853.56 and 6,654.66

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Solution

The third proportional to 2,853.56 and 6,654.66 is: 15,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.56 : 6,654.66 = 6,654.66 : x
  2. Step 2: Convert to fraction form
    2,853.56/6,654.66 = 6,654.66/x
  3. Step 3: Cross multiply
    2,853.56x = 6,654.66 × 6,654.66
  4. Step 4: Simplify right side
    2,853.56x = 44,284,449.81
  5. Step 5: Solve for x
    x = 44,284,449.81/2,853.56
  6. Step 6: Final answer
    x = 15,519.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.