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Finding the Third Proportional to 5,889.75 and 8,726.25

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Solution

The third proportional to 5,889.75 and 8,726.25 is: 12,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.75 : 8,726.25 = 8,726.25 : x
  2. Step 2: Convert to fraction form
    5,889.75/8,726.25 = 8,726.25/x
  3. Step 3: Cross multiply
    5,889.75x = 8,726.25 × 8,726.25
  4. Step 4: Simplify right side
    5,889.75x = 76,147,439.06
  5. Step 5: Solve for x
    x = 76,147,439.06/5,889.75
  6. Step 6: Final answer
    x = 12,928.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.