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Finding the Third Proportional to 49,321 and 69,788

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Solution

The third proportional to 49,321 and 69,788 is: 98,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321 : 69,788 = 69,788 : x
  2. Step 2: Convert to fraction form
    49,321/69,788 = 69,788/x
  3. Step 3: Cross multiply
    49,321x = 69,788 × 69,788
  4. Step 4: Simplify right side
    49,321x = 4,870,364,944
  5. Step 5: Solve for x
    x = 4,870,364,944/49,321
  6. Step 6: Final answer
    x = 98,748.30

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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.