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Finding the Third Proportional to 15,885 and 23,749

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Solution

The third proportional to 15,885 and 23,749 is: 35,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885 : 23,749 = 23,749 : x
  2. Step 2: Convert to fraction form
    15,885/23,749 = 23,749/x
  3. Step 3: Cross multiply
    15,885x = 23,749 × 23,749
  4. Step 4: Simplify right side
    15,885x = 564,015,001
  5. Step 5: Solve for x
    x = 564,015,001/15,885
  6. Step 6: Final answer
    x = 35,506.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.