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Finding the Third Proportional to 7,427 and 11,141

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Solution

The third proportional to 7,427 and 11,141 is: 16,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 11,141 = 11,141 : x
  2. Step 2: Convert to fraction form
    7,427/11,141 = 11,141/x
  3. Step 3: Cross multiply
    7,427x = 11,141 × 11,141
  4. Step 4: Simplify right side
    7,427x = 124,121,881
  5. Step 5: Solve for x
    x = 124,121,881/7,427
  6. Step 6: Final answer
    x = 16,712.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.