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Finding the Third Proportional to 1,056.75 and 2,586.75

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Solution

The third proportional to 1,056.75 and 2,586.75 is: 6,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.75 : 2,586.75 = 2,586.75 : x
  2. Step 2: Convert to fraction form
    1,056.75/2,586.75 = 2,586.75/x
  3. Step 3: Cross multiply
    1,056.75x = 2,586.75 × 2,586.75
  4. Step 4: Simplify right side
    1,056.75x = 6,691,275.56
  5. Step 5: Solve for x
    x = 6,691,275.56/1,056.75
  6. Step 6: Final answer
    x = 6,331.94

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.