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Finding the Third Proportional to 9,186.75 and 13,754.81

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Solution

The third proportional to 9,186.75 and 13,754.81 is: 20,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 13,754.81 = 13,754.81 : x
  2. Step 2: Convert to fraction form
    9,186.75/13,754.81 = 13,754.81/x
  3. Step 3: Cross multiply
    9,186.75x = 13,754.81 × 13,754.81
  4. Step 4: Simplify right side
    9,186.75x = 189,194,866.91
  5. Step 5: Solve for x
    x = 189,194,866.91/9,186.75
  6. Step 6: Final answer
    x = 20,594.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.