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Finding the Third Proportional to 23,845 and 28,237

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Solution

The third proportional to 23,845 and 28,237 is: 33,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845 : 28,237 = 28,237 : x
  2. Step 2: Convert to fraction form
    23,845/28,237 = 28,237/x
  3. Step 3: Cross multiply
    23,845x = 28,237 × 28,237
  4. Step 4: Simplify right side
    23,845x = 797,328,169
  5. Step 5: Solve for x
    x = 797,328,169/23,845
  6. Step 6: Final answer
    x = 33,437.96

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.