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Finding the Third Proportional to 1,251.84 and 1,873.27

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Solution

The third proportional to 1,251.84 and 1,873.27 is: 2,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.84 : 1,873.27 = 1,873.27 : x
  2. Step 2: Convert to fraction form
    1,251.84/1,873.27 = 1,873.27/x
  3. Step 3: Cross multiply
    1,251.84x = 1,873.27 × 1,873.27
  4. Step 4: Simplify right side
    1,251.84x = 3,509,124.10
  5. Step 5: Solve for x
    x = 3,509,124.10/1,251.84
  6. Step 6: Final answer
    x = 2,803.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.