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Finding the Third Proportional to 9,986 and 15,299

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Solution

The third proportional to 9,986 and 15,299 is: 23,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 15,299 = 15,299 : x
  2. Step 2: Convert to fraction form
    9,986/15,299 = 15,299/x
  3. Step 3: Cross multiply
    9,986x = 15,299 × 15,299
  4. Step 4: Simplify right side
    9,986x = 234,059,401
  5. Step 5: Solve for x
    x = 234,059,401/9,986
  6. Step 6: Final answer
    x = 23,438.75

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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.