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Finding the Third Proportional to 2,045.56 and 3,199.97

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Solution

The third proportional to 2,045.56 and 3,199.97 is: 5,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.56 : 3,199.97 = 3,199.97 : x
  2. Step 2: Convert to fraction form
    2,045.56/3,199.97 = 3,199.97/x
  3. Step 3: Cross multiply
    2,045.56x = 3,199.97 × 3,199.97
  4. Step 4: Simplify right side
    2,045.56x = 10,239,800.00
  5. Step 5: Solve for x
    x = 10,239,800.00/2,045.56
  6. Step 6: Final answer
    x = 5,005.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.