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Finding the Third Proportional to 6,099.75 and 13,123.13

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Solution

The third proportional to 6,099.75 and 13,123.13 is: 28,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.75 : 13,123.13 = 13,123.13 : x
  2. Step 2: Convert to fraction form
    6,099.75/13,123.13 = 13,123.13/x
  3. Step 3: Cross multiply
    6,099.75x = 13,123.13 × 13,123.13
  4. Step 4: Simplify right side
    6,099.75x = 172,216,409.77
  5. Step 5: Solve for x
    x = 172,216,409.77/6,099.75
  6. Step 6: Final answer
    x = 28,233.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.