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Finding the Third Proportional to 7,146 and 10,996

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Solution

The third proportional to 7,146 and 10,996 is: 16,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146 : 10,996 = 10,996 : x
  2. Step 2: Convert to fraction form
    7,146/10,996 = 10,996/x
  3. Step 3: Cross multiply
    7,146x = 10,996 × 10,996
  4. Step 4: Simplify right side
    7,146x = 120,912,016
  5. Step 5: Solve for x
    x = 120,912,016/7,146
  6. Step 6: Final answer
    x = 16,920.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.