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Finding the Third Proportional to 28,625 and 42,109

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Solution

The third proportional to 28,625 and 42,109 is: 61,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,625 : 42,109 = 42,109 : x
  2. Step 2: Convert to fraction form
    28,625/42,109 = 42,109/x
  3. Step 3: Cross multiply
    28,625x = 42,109 × 42,109
  4. Step 4: Simplify right side
    28,625x = 1,773,167,881
  5. Step 5: Solve for x
    x = 1,773,167,881/28,625
  6. Step 6: Final answer
    x = 61,944.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.