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Finding the Third Proportional to 48,818 and 73,034

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Solution

The third proportional to 48,818 and 73,034 is: 109,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,818 : 73,034 = 73,034 : x
  2. Step 2: Convert to fraction form
    48,818/73,034 = 73,034/x
  3. Step 3: Cross multiply
    48,818x = 73,034 × 73,034
  4. Step 4: Simplify right side
    48,818x = 5,333,965,156
  5. Step 5: Solve for x
    x = 5,333,965,156/48,818
  6. Step 6: Final answer
    x = 109,262.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.