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Finding the Third Proportional to 4,014 and 9,299

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Solution

The third proportional to 4,014 and 9,299 is: 21,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 9,299 = 9,299 : x
  2. Step 2: Convert to fraction form
    4,014/9,299 = 9,299/x
  3. Step 3: Cross multiply
    4,014x = 9,299 × 9,299
  4. Step 4: Simplify right side
    4,014x = 86,471,401
  5. Step 5: Solve for x
    x = 86,471,401/4,014
  6. Step 6: Final answer
    x = 21,542.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.