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Finding the Third Proportional to 11,205.53 and 15,226.42

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Solution

The third proportional to 11,205.53 and 15,226.42 is: 20,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.53 : 15,226.42 = 15,226.42 : x
  2. Step 2: Convert to fraction form
    11,205.53/15,226.42 = 15,226.42/x
  3. Step 3: Cross multiply
    11,205.53x = 15,226.42 × 15,226.42
  4. Step 4: Simplify right side
    11,205.53x = 231,843,804.16
  5. Step 5: Solve for x
    x = 231,843,804.16/11,205.53
  6. Step 6: Final answer
    x = 20,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.