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Finding the Third Proportional to 11,226.75 and 24,606.38

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Solution

The third proportional to 11,226.75 and 24,606.38 is: 53,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.75 : 24,606.38 = 24,606.38 : x
  2. Step 2: Convert to fraction form
    11,226.75/24,606.38 = 24,606.38/x
  3. Step 3: Cross multiply
    11,226.75x = 24,606.38 × 24,606.38
  4. Step 4: Simplify right side
    11,226.75x = 605,473,690.64
  5. Step 5: Solve for x
    x = 605,473,690.64/11,226.75
  6. Step 6: Final answer
    x = 53,931.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.