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Finding the Third Proportional to 4,239 and 9,207

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Solution

The third proportional to 4,239 and 9,207 is: 19,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239 : 9,207 = 9,207 : x
  2. Step 2: Convert to fraction form
    4,239/9,207 = 9,207/x
  3. Step 3: Cross multiply
    4,239x = 9,207 × 9,207
  4. Step 4: Simplify right side
    4,239x = 84,768,849
  5. Step 5: Solve for x
    x = 84,768,849/4,239
  6. Step 6: Final answer
    x = 19,997.37

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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.