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Finding the Third Proportional to 15,837 and 23,785

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Solution

The third proportional to 15,837 and 23,785 is: 35,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837 : 23,785 = 23,785 : x
  2. Step 2: Convert to fraction form
    15,837/23,785 = 23,785/x
  3. Step 3: Cross multiply
    15,837x = 23,785 × 23,785
  4. Step 4: Simplify right side
    15,837x = 565,726,225
  5. Step 5: Solve for x
    x = 565,726,225/15,837
  6. Step 6: Final answer
    x = 35,721.80

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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.