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Finding the Third Proportional to 10,773 and 12,474

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Solution

The third proportional to 10,773 and 12,474 is: 14,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773 : 12,474 = 12,474 : x
  2. Step 2: Convert to fraction form
    10,773/12,474 = 12,474/x
  3. Step 3: Cross multiply
    10,773x = 12,474 × 12,474
  4. Step 4: Simplify right side
    10,773x = 155,600,676
  5. Step 5: Solve for x
    x = 155,600,676/10,773
  6. Step 6: Final answer
    x = 14,443.58

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.