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Finding the Third Proportional to 2,005.88 and 2,451.38

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Solution

The third proportional to 2,005.88 and 2,451.38 is: 2,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 2,451.38 = 2,451.38 : x
  2. Step 2: Convert to fraction form
    2,005.88/2,451.38 = 2,451.38/x
  3. Step 3: Cross multiply
    2,005.88x = 2,451.38 × 2,451.38
  4. Step 4: Simplify right side
    2,005.88x = 6,009,239.39
  5. Step 5: Solve for x
    x = 6,009,239.39/2,005.88
  6. Step 6: Final answer
    x = 2,995.82

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.