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Finding the Third Proportional to 7,191.84 and 11,448.56

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Solution

The third proportional to 7,191.84 and 11,448.56 is: 18,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.84 : 11,448.56 = 11,448.56 : x
  2. Step 2: Convert to fraction form
    7,191.84/11,448.56 = 11,448.56/x
  3. Step 3: Cross multiply
    7,191.84x = 11,448.56 × 11,448.56
  4. Step 4: Simplify right side
    7,191.84x = 131,069,583.32
  5. Step 5: Solve for x
    x = 131,069,583.32/7,191.84
  6. Step 6: Final answer
    x = 18,224.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.