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Finding the Third Proportional to 28,997 and 62,791

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Solution

The third proportional to 28,997 and 62,791 is: 135,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,997 : 62,791 = 62,791 : x
  2. Step 2: Convert to fraction form
    28,997/62,791 = 62,791/x
  3. Step 3: Cross multiply
    28,997x = 62,791 × 62,791
  4. Step 4: Simplify right side
    28,997x = 3,942,709,681
  5. Step 5: Solve for x
    x = 3,942,709,681/28,997
  6. Step 6: Final answer
    x = 135,969.57

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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.