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Finding the Third Proportional to 1,546.50 and 2,332.92

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Solution

The third proportional to 1,546.50 and 2,332.92 is: 3,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.50 : 2,332.92 = 2,332.92 : x
  2. Step 2: Convert to fraction form
    1,546.50/2,332.92 = 2,332.92/x
  3. Step 3: Cross multiply
    1,546.50x = 2,332.92 × 2,332.92
  4. Step 4: Simplify right side
    1,546.50x = 5,442,524.47
  5. Step 5: Solve for x
    x = 5,442,524.47/1,546.50
  6. Step 6: Final answer
    x = 3,519.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.