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Finding the Third Proportional to 7,827 and 16,301

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Solution

The third proportional to 7,827 and 16,301 is: 33,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 16,301 = 16,301 : x
  2. Step 2: Convert to fraction form
    7,827/16,301 = 16,301/x
  3. Step 3: Cross multiply
    7,827x = 16,301 × 16,301
  4. Step 4: Simplify right side
    7,827x = 265,722,601
  5. Step 5: Solve for x
    x = 265,722,601/7,827
  6. Step 6: Final answer
    x = 33,949.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.