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Finding the Third Proportional to 15,353 and 33,055

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Solution

The third proportional to 15,353 and 33,055 is: 71,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353 : 33,055 = 33,055 : x
  2. Step 2: Convert to fraction form
    15,353/33,055 = 33,055/x
  3. Step 3: Cross multiply
    15,353x = 33,055 × 33,055
  4. Step 4: Simplify right side
    15,353x = 1,092,633,025
  5. Step 5: Solve for x
    x = 1,092,633,025/15,353
  6. Step 6: Final answer
    x = 71,167.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.