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Finding the Third Proportional to 10,505 and 15,109

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Solution

The third proportional to 10,505 and 15,109 is: 21,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505 : 15,109 = 15,109 : x
  2. Step 2: Convert to fraction form
    10,505/15,109 = 15,109/x
  3. Step 3: Cross multiply
    10,505x = 15,109 × 15,109
  4. Step 4: Simplify right side
    10,505x = 228,281,881
  5. Step 5: Solve for x
    x = 228,281,881/10,505
  6. Step 6: Final answer
    x = 21,730.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.