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Finding the Third Proportional to 1,252.49 and 1,925.73

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Solution

The third proportional to 1,252.49 and 1,925.73 is: 2,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.49 : 1,925.73 = 1,925.73 : x
  2. Step 2: Convert to fraction form
    1,252.49/1,925.73 = 1,925.73/x
  3. Step 3: Cross multiply
    1,252.49x = 1,925.73 × 1,925.73
  4. Step 4: Simplify right side
    1,252.49x = 3,708,426.55
  5. Step 5: Solve for x
    x = 3,708,426.55/1,252.49
  6. Step 6: Final answer
    x = 2,960.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.