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Finding the Third Proportional to 7,395 and 15,827

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Solution

The third proportional to 7,395 and 15,827 is: 33,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395 : 15,827 = 15,827 : x
  2. Step 2: Convert to fraction form
    7,395/15,827 = 15,827/x
  3. Step 3: Cross multiply
    7,395x = 15,827 × 15,827
  4. Step 4: Simplify right side
    7,395x = 250,493,929
  5. Step 5: Solve for x
    x = 250,493,929/7,395
  6. Step 6: Final answer
    x = 33,873.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.