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Finding the Third Proportional to 9,143.44 and 11,943.84

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Solution

The third proportional to 9,143.44 and 11,943.84 is: 15,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.44 : 11,943.84 = 11,943.84 : x
  2. Step 2: Convert to fraction form
    9,143.44/11,943.84 = 11,943.84/x
  3. Step 3: Cross multiply
    9,143.44x = 11,943.84 × 11,943.84
  4. Step 4: Simplify right side
    9,143.44x = 142,655,403.52
  5. Step 5: Solve for x
    x = 142,655,403.52/9,143.44
  6. Step 6: Final answer
    x = 15,601.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.