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Finding the Third Proportional to 47,278 and 69,983

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Solution

The third proportional to 47,278 and 69,983 is: 103,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,278 : 69,983 = 69,983 : x
  2. Step 2: Convert to fraction form
    47,278/69,983 = 69,983/x
  3. Step 3: Cross multiply
    47,278x = 69,983 × 69,983
  4. Step 4: Simplify right side
    47,278x = 4,897,620,289
  5. Step 5: Solve for x
    x = 4,897,620,289/47,278
  6. Step 6: Final answer
    x = 103,591.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.