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Finding the Third Proportional to 47,275 and 69,978

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Solution

The third proportional to 47,275 and 69,978 is: 103,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275 : 69,978 = 69,978 : x
  2. Step 2: Convert to fraction form
    47,275/69,978 = 69,978/x
  3. Step 3: Cross multiply
    47,275x = 69,978 × 69,978
  4. Step 4: Simplify right side
    47,275x = 4,896,920,484
  5. Step 5: Solve for x
    x = 4,896,920,484/47,275
  6. Step 6: Final answer
    x = 103,583.72

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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.