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Finding the Third Proportional to 11,266 and 24,476

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Solution

The third proportional to 11,266 and 24,476 is: 53,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266 : 24,476 = 24,476 : x
  2. Step 2: Convert to fraction form
    11,266/24,476 = 24,476/x
  3. Step 3: Cross multiply
    11,266x = 24,476 × 24,476
  4. Step 4: Simplify right side
    11,266x = 599,074,576
  5. Step 5: Solve for x
    x = 599,074,576/11,266
  6. Step 6: Final answer
    x = 53,175.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.