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Finding the Third Proportional to 28,702 and 38,494

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Solution

The third proportional to 28,702 and 38,494 is: 51,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702 : 38,494 = 38,494 : x
  2. Step 2: Convert to fraction form
    28,702/38,494 = 38,494/x
  3. Step 3: Cross multiply
    28,702x = 38,494 × 38,494
  4. Step 4: Simplify right side
    28,702x = 1,481,788,036
  5. Step 5: Solve for x
    x = 1,481,788,036/28,702
  6. Step 6: Final answer
    x = 51,626.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.