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Finding the Third Proportional to 16,984 and 28,301

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Solution

The third proportional to 16,984 and 28,301 is: 47,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984 : 28,301 = 28,301 : x
  2. Step 2: Convert to fraction form
    16,984/28,301 = 28,301/x
  3. Step 3: Cross multiply
    16,984x = 28,301 × 28,301
  4. Step 4: Simplify right side
    16,984x = 800,946,601
  5. Step 5: Solve for x
    x = 800,946,601/16,984
  6. Step 6: Final answer
    x = 47,158.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.