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Finding the Third Proportional to 2,176.56 and 4,660.66

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Solution

The third proportional to 2,176.56 and 4,660.66 is: 9,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.56 : 4,660.66 = 4,660.66 : x
  2. Step 2: Convert to fraction form
    2,176.56/4,660.66 = 4,660.66/x
  3. Step 3: Cross multiply
    2,176.56x = 4,660.66 × 4,660.66
  4. Step 4: Simplify right side
    2,176.56x = 21,721,789.50
  5. Step 5: Solve for x
    x = 21,721,789.50/2,176.56
  6. Step 6: Final answer
    x = 9,979.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.