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Finding the Third Proportional to 1,625.56 and 2,586.84

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Solution

The third proportional to 1,625.56 and 2,586.84 is: 4,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.56 : 2,586.84 = 2,586.84 : x
  2. Step 2: Convert to fraction form
    1,625.56/2,586.84 = 2,586.84/x
  3. Step 3: Cross multiply
    1,625.56x = 2,586.84 × 2,586.84
  4. Step 4: Simplify right side
    1,625.56x = 6,691,760.59
  5. Step 5: Solve for x
    x = 6,691,760.59/1,625.56
  6. Step 6: Final answer
    x = 4,116.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.