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Finding the Third Proportional to 49,322 and 69,789

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Solution

The third proportional to 49,322 and 69,789 is: 98,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 69,789 = 69,789 : x
  2. Step 2: Convert to fraction form
    49,322/69,789 = 69,789/x
  3. Step 3: Cross multiply
    49,322x = 69,789 × 69,789
  4. Step 4: Simplify right side
    49,322x = 4,870,504,521
  5. Step 5: Solve for x
    x = 4,870,504,521/49,322
  6. Step 6: Final answer
    x = 98,749.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.