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Finding the Third Proportional to 16,599 and 29,301

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Solution

The third proportional to 16,599 and 29,301 is: 51,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,599 : 29,301 = 29,301 : x
  2. Step 2: Convert to fraction form
    16,599/29,301 = 29,301/x
  3. Step 3: Cross multiply
    16,599x = 29,301 × 29,301
  4. Step 4: Simplify right side
    16,599x = 858,548,601
  5. Step 5: Solve for x
    x = 858,548,601/16,599
  6. Step 6: Final answer
    x = 51,722.91

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.