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Finding the Third Proportional to 1,256.63 and 2,724.75

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Solution

The third proportional to 1,256.63 and 2,724.75 is: 5,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.63 : 2,724.75 = 2,724.75 : x
  2. Step 2: Convert to fraction form
    1,256.63/2,724.75 = 2,724.75/x
  3. Step 3: Cross multiply
    1,256.63x = 2,724.75 × 2,724.75
  4. Step 4: Simplify right side
    1,256.63x = 7,424,262.56
  5. Step 5: Solve for x
    x = 7,424,262.56/1,256.63
  6. Step 6: Final answer
    x = 5,908.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.