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Finding the Third Proportional to 5,146.03 and 7,983.56

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Solution

The third proportional to 5,146.03 and 7,983.56 is: 12,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.03 : 7,983.56 = 7,983.56 : x
  2. Step 2: Convert to fraction form
    5,146.03/7,983.56 = 7,983.56/x
  3. Step 3: Cross multiply
    5,146.03x = 7,983.56 × 7,983.56
  4. Step 4: Simplify right side
    5,146.03x = 63,737,270.19
  5. Step 5: Solve for x
    x = 63,737,270.19/5,146.03
  6. Step 6: Final answer
    x = 12,385.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.