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Finding the Third Proportional to 15,399 and 33,253

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Solution

The third proportional to 15,399 and 33,253 is: 71,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399 : 33,253 = 33,253 : x
  2. Step 2: Convert to fraction form
    15,399/33,253 = 33,253/x
  3. Step 3: Cross multiply
    15,399x = 33,253 × 33,253
  4. Step 4: Simplify right side
    15,399x = 1,105,762,009
  5. Step 5: Solve for x
    x = 1,105,762,009/15,399
  6. Step 6: Final answer
    x = 71,807.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.