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Finding the Third Proportional to 2,368.50 and 5,586.75

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Solution

The third proportional to 2,368.50 and 5,586.75 is: 13,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.50 : 5,586.75 = 5,586.75 : x
  2. Step 2: Convert to fraction form
    2,368.50/5,586.75 = 5,586.75/x
  3. Step 3: Cross multiply
    2,368.50x = 5,586.75 × 5,586.75
  4. Step 4: Simplify right side
    2,368.50x = 31,211,775.56
  5. Step 5: Solve for x
    x = 31,211,775.56/2,368.50
  6. Step 6: Final answer
    x = 13,177.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.