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Finding the Third Proportional to 28,769.50 and 62,471

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Solution

The third proportional to 28,769.50 and 62,471 is: 135,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,769.50 : 62,471 = 62,471 : x
  2. Step 2: Convert to fraction form
    28,769.50/62,471 = 62,471/x
  3. Step 3: Cross multiply
    28,769.50x = 62,471 × 62,471
  4. Step 4: Simplify right side
    28,769.50x = 3,902,625,841
  5. Step 5: Solve for x
    x = 3,902,625,841/28,769.50
  6. Step 6: Final answer
    x = 135,651.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.