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Finding the Third Proportional to 10,956 and 16,948

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Solution

The third proportional to 10,956 and 16,948 is: 26,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 16,948 = 16,948 : x
  2. Step 2: Convert to fraction form
    10,956/16,948 = 16,948/x
  3. Step 3: Cross multiply
    10,956x = 16,948 × 16,948
  4. Step 4: Simplify right side
    10,956x = 287,234,704
  5. Step 5: Solve for x
    x = 287,234,704/10,956
  6. Step 6: Final answer
    x = 26,217.11

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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.