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Finding the Third Proportional to 2,007.84 and 2,952.42

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Solution

The third proportional to 2,007.84 and 2,952.42 is: 4,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.84 : 2,952.42 = 2,952.42 : x
  2. Step 2: Convert to fraction form
    2,007.84/2,952.42 = 2,952.42/x
  3. Step 3: Cross multiply
    2,007.84x = 2,952.42 × 2,952.42
  4. Step 4: Simplify right side
    2,007.84x = 8,716,794.93
  5. Step 5: Solve for x
    x = 8,716,794.93/2,007.84
  6. Step 6: Final answer
    x = 4,341.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.