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Finding the Third Proportional to 47,275 and 71,895

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Solution

The third proportional to 47,275 and 71,895 is: 109,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275 : 71,895 = 71,895 : x
  2. Step 2: Convert to fraction form
    47,275/71,895 = 71,895/x
  3. Step 3: Cross multiply
    47,275x = 71,895 × 71,895
  4. Step 4: Simplify right side
    47,275x = 5,168,891,025
  5. Step 5: Solve for x
    x = 5,168,891,025/47,275
  6. Step 6: Final answer
    x = 109,336.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.