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Finding the Third Proportional to 15,239 and 23,885

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Solution

The third proportional to 15,239 and 23,885 is: 37,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,239 : 23,885 = 23,885 : x
  2. Step 2: Convert to fraction form
    15,239/23,885 = 23,885/x
  3. Step 3: Cross multiply
    15,239x = 23,885 × 23,885
  4. Step 4: Simplify right side
    15,239x = 570,493,225
  5. Step 5: Solve for x
    x = 570,493,225/15,239
  6. Step 6: Final answer
    x = 37,436.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.