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Finding the Third Proportional to 5,238 and 7,109

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Solution

The third proportional to 5,238 and 7,109 is: 9,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,109 = 7,109 : x
  2. Step 2: Convert to fraction form
    5,238/7,109 = 7,109/x
  3. Step 3: Cross multiply
    5,238x = 7,109 × 7,109
  4. Step 4: Simplify right side
    5,238x = 50,537,881
  5. Step 5: Solve for x
    x = 50,537,881/5,238
  6. Step 6: Final answer
    x = 9,648.32

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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.