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Finding the Third Proportional to 15,785 and 23,944

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Solution

The third proportional to 15,785 and 23,944 is: 36,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785 : 23,944 = 23,944 : x
  2. Step 2: Convert to fraction form
    15,785/23,944 = 23,944/x
  3. Step 3: Cross multiply
    15,785x = 23,944 × 23,944
  4. Step 4: Simplify right side
    15,785x = 573,315,136
  5. Step 5: Solve for x
    x = 573,315,136/15,785
  6. Step 6: Final answer
    x = 36,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.