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Finding the Third Proportional to 9,270.75 and 13,986

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Solution

The third proportional to 9,270.75 and 13,986 is: 21,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.75 : 13,986 = 13,986 : x
  2. Step 2: Convert to fraction form
    9,270.75/13,986 = 13,986/x
  3. Step 3: Cross multiply
    9,270.75x = 13,986 × 13,986
  4. Step 4: Simplify right side
    9,270.75x = 195,608,196
  5. Step 5: Solve for x
    x = 195,608,196/9,270.75
  6. Step 6: Final answer
    x = 21,099.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.