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Finding the Third Proportional to 10,199 and 15,109

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Solution

The third proportional to 10,199 and 15,109 is: 22,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 15,109 = 15,109 : x
  2. Step 2: Convert to fraction form
    10,199/15,109 = 15,109/x
  3. Step 3: Cross multiply
    10,199x = 15,109 × 15,109
  4. Step 4: Simplify right side
    10,199x = 228,281,881
  5. Step 5: Solve for x
    x = 228,281,881/10,199
  6. Step 6: Final answer
    x = 22,382.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.