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Finding the Third Proportional to 10,918 and 16,945

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Solution

The third proportional to 10,918 and 16,945 is: 26,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918 : 16,945 = 16,945 : x
  2. Step 2: Convert to fraction form
    10,918/16,945 = 16,945/x
  3. Step 3: Cross multiply
    10,918x = 16,945 × 16,945
  4. Step 4: Simplify right side
    10,918x = 287,133,025
  5. Step 5: Solve for x
    x = 287,133,025/10,918
  6. Step 6: Final answer
    x = 26,299.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.