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Finding the Third Proportional to 48,253.22 and 73,200.09

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Solution

The third proportional to 48,253.22 and 73,200.09 is: 111,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,253.22 : 73,200.09 = 73,200.09 : x
  2. Step 2: Convert to fraction form
    48,253.22/73,200.09 = 73,200.09/x
  3. Step 3: Cross multiply
    48,253.22x = 73,200.09 × 73,200.09
  4. Step 4: Simplify right side
    48,253.22x = 5,358,253,725.01
  5. Step 5: Solve for x
    x = 5,358,253,725.01/48,253.22
  6. Step 6: Final answer
    x = 111,044.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.