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Finding the Third Proportional to 9,884 and 15,077

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Solution

The third proportional to 9,884 and 15,077 is: 22,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 15,077 = 15,077 : x
  2. Step 2: Convert to fraction form
    9,884/15,077 = 15,077/x
  3. Step 3: Cross multiply
    9,884x = 15,077 × 15,077
  4. Step 4: Simplify right side
    9,884x = 227,315,929
  5. Step 5: Solve for x
    x = 227,315,929/9,884
  6. Step 6: Final answer
    x = 22,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.