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Finding the Third Proportional to 15,806 and 24,288

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Solution

The third proportional to 15,806 and 24,288 is: 37,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 24,288 = 24,288 : x
  2. Step 2: Convert to fraction form
    15,806/24,288 = 24,288/x
  3. Step 3: Cross multiply
    15,806x = 24,288 × 24,288
  4. Step 4: Simplify right side
    15,806x = 589,906,944
  5. Step 5: Solve for x
    x = 589,906,944/15,806
  6. Step 6: Final answer
    x = 37,321.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.