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Finding the Third Proportional to 1,332.07 and 2,846.71

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Solution

The third proportional to 1,332.07 and 2,846.71 is: 6,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.07 : 2,846.71 = 2,846.71 : x
  2. Step 2: Convert to fraction form
    1,332.07/2,846.71 = 2,846.71/x
  3. Step 3: Cross multiply
    1,332.07x = 2,846.71 × 2,846.71
  4. Step 4: Simplify right side
    1,332.07x = 8,103,740.92
  5. Step 5: Solve for x
    x = 8,103,740.92/1,332.07
  6. Step 6: Final answer
    x = 6,083.57

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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.