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Finding the Third Proportional to 7,395 and 16,229

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Solution

The third proportional to 7,395 and 16,229 is: 35,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395 : 16,229 = 16,229 : x
  2. Step 2: Convert to fraction form
    7,395/16,229 = 16,229/x
  3. Step 3: Cross multiply
    7,395x = 16,229 × 16,229
  4. Step 4: Simplify right side
    7,395x = 263,380,441
  5. Step 5: Solve for x
    x = 263,380,441/7,395
  6. Step 6: Final answer
    x = 35,616.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.