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Finding the Third Proportional to 28,880 and 62,983

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Solution

The third proportional to 28,880 and 62,983 is: 137,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,880 : 62,983 = 62,983 : x
  2. Step 2: Convert to fraction form
    28,880/62,983 = 62,983/x
  3. Step 3: Cross multiply
    28,880x = 62,983 × 62,983
  4. Step 4: Simplify right side
    28,880x = 3,966,858,289
  5. Step 5: Solve for x
    x = 3,966,858,289/28,880
  6. Step 6: Final answer
    x = 137,356.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.