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Finding the Third Proportional to 9,866 and 15,109

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Solution

The third proportional to 9,866 and 15,109 is: 23,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 15,109 = 15,109 : x
  2. Step 2: Convert to fraction form
    9,866/15,109 = 15,109/x
  3. Step 3: Cross multiply
    9,866x = 15,109 × 15,109
  4. Step 4: Simplify right side
    9,866x = 228,281,881
  5. Step 5: Solve for x
    x = 228,281,881/9,866
  6. Step 6: Final answer
    x = 23,138.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.