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Finding the Third Proportional to 7,263.42 and 11,179.27

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Solution

The third proportional to 7,263.42 and 11,179.27 is: 17,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.42 : 11,179.27 = 11,179.27 : x
  2. Step 2: Convert to fraction form
    7,263.42/11,179.27 = 11,179.27/x
  3. Step 3: Cross multiply
    7,263.42x = 11,179.27 × 11,179.27
  4. Step 4: Simplify right side
    7,263.42x = 124,975,979.91
  5. Step 5: Solve for x
    x = 124,975,979.91/7,263.42
  6. Step 6: Final answer
    x = 17,206.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.