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Finding the Third Proportional to 5,239 and 11,017

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Solution

The third proportional to 5,239 and 11,017 is: 23,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 11,017 = 11,017 : x
  2. Step 2: Convert to fraction form
    5,239/11,017 = 11,017/x
  3. Step 3: Cross multiply
    5,239x = 11,017 × 11,017
  4. Step 4: Simplify right side
    5,239x = 121,374,289
  5. Step 5: Solve for x
    x = 121,374,289/5,239
  6. Step 6: Final answer
    x = 23,167.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.