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Finding the Third Proportional to 1,252.65 and 1,947.16

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Solution

The third proportional to 1,252.65 and 1,947.16 is: 3,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.65 : 1,947.16 = 1,947.16 : x
  2. Step 2: Convert to fraction form
    1,252.65/1,947.16 = 1,947.16/x
  3. Step 3: Cross multiply
    1,252.65x = 1,947.16 × 1,947.16
  4. Step 4: Simplify right side
    1,252.65x = 3,791,447.89
  5. Step 5: Solve for x
    x = 3,791,447.89/1,252.65
  6. Step 6: Final answer
    x = 3,026.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.