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Finding the Third Proportional to 10,956 and 14,814

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Solution

The third proportional to 10,956 and 14,814 is: 20,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 14,814 = 14,814 : x
  2. Step 2: Convert to fraction form
    10,956/14,814 = 14,814/x
  3. Step 3: Cross multiply
    10,956x = 14,814 × 14,814
  4. Step 4: Simplify right side
    10,956x = 219,454,596
  5. Step 5: Solve for x
    x = 219,454,596/10,956
  6. Step 6: Final answer
    x = 20,030.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.