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Finding the Third Proportional to 5,754 and 13,299

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Solution

The third proportional to 5,754 and 13,299 is: 30,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754 : 13,299 = 13,299 : x
  2. Step 2: Convert to fraction form
    5,754/13,299 = 13,299/x
  3. Step 3: Cross multiply
    5,754x = 13,299 × 13,299
  4. Step 4: Simplify right side
    5,754x = 176,863,401
  5. Step 5: Solve for x
    x = 176,863,401/5,754
  6. Step 6: Final answer
    x = 30,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.