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Finding the Third Proportional to 5,914 and 9,427

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Solution

The third proportional to 5,914 and 9,427 is: 15,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 9,427 = 9,427 : x
  2. Step 2: Convert to fraction form
    5,914/9,427 = 9,427/x
  3. Step 3: Cross multiply
    5,914x = 9,427 × 9,427
  4. Step 4: Simplify right side
    5,914x = 88,868,329
  5. Step 5: Solve for x
    x = 88,868,329/5,914
  6. Step 6: Final answer
    x = 15,026.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.