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Finding the Third Proportional to 15,024 and 32,253

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Solution

The third proportional to 15,024 and 32,253 is: 69,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 32,253 = 32,253 : x
  2. Step 2: Convert to fraction form
    15,024/32,253 = 32,253/x
  3. Step 3: Cross multiply
    15,024x = 32,253 × 32,253
  4. Step 4: Simplify right side
    15,024x = 1,040,256,009
  5. Step 5: Solve for x
    x = 1,040,256,009/15,024
  6. Step 6: Final answer
    x = 69,239.62

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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.