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Finding the Third Proportional to 28,767 and 38,866

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Solution

The third proportional to 28,767 and 38,866 is: 52,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767 : 38,866 = 38,866 : x
  2. Step 2: Convert to fraction form
    28,767/38,866 = 38,866/x
  3. Step 3: Cross multiply
    28,767x = 38,866 × 38,866
  4. Step 4: Simplify right side
    28,767x = 1,510,565,956
  5. Step 5: Solve for x
    x = 1,510,565,956/28,767
  6. Step 6: Final answer
    x = 52,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.