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Finding the Third Proportional to 1,274.63 and 2,585.11

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Solution

The third proportional to 1,274.63 and 2,585.11 is: 5,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.63 : 2,585.11 = 2,585.11 : x
  2. Step 2: Convert to fraction form
    1,274.63/2,585.11 = 2,585.11/x
  3. Step 3: Cross multiply
    1,274.63x = 2,585.11 × 2,585.11
  4. Step 4: Simplify right side
    1,274.63x = 6,682,790.48
  5. Step 5: Solve for x
    x = 6,682,790.48/1,274.63
  6. Step 6: Final answer
    x = 5,242.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.