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Finding the Third Proportional to 48,876.75 and 73,098

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Solution

The third proportional to 48,876.75 and 73,098 is: 109,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,876.75 : 73,098 = 73,098 : x
  2. Step 2: Convert to fraction form
    48,876.75/73,098 = 73,098/x
  3. Step 3: Cross multiply
    48,876.75x = 73,098 × 73,098
  4. Step 4: Simplify right side
    48,876.75x = 5,343,317,604
  5. Step 5: Solve for x
    x = 5,343,317,604/48,876.75
  6. Step 6: Final answer
    x = 109,322.28

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Why These Related Problems?

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