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Finding the Third Proportional to 48,922.50 and 73,491

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Solution

The third proportional to 48,922.50 and 73,491 is: 110,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,922.50 : 73,491 = 73,491 : x
  2. Step 2: Convert to fraction form
    48,922.50/73,491 = 73,491/x
  3. Step 3: Cross multiply
    48,922.50x = 73,491 × 73,491
  4. Step 4: Simplify right side
    48,922.50x = 5,400,927,081
  5. Step 5: Solve for x
    x = 5,400,927,081/48,922.50
  6. Step 6: Final answer
    x = 110,397.61

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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.