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Finding the Third Proportional to 48,043.13 and 71,841.94

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Solution

The third proportional to 48,043.13 and 71,841.94 is: 107,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043.13 : 71,841.94 = 71,841.94 : x
  2. Step 2: Convert to fraction form
    48,043.13/71,841.94 = 71,841.94/x
  3. Step 3: Cross multiply
    48,043.13x = 71,841.94 × 71,841.94
  4. Step 4: Simplify right side
    48,043.13x = 5,161,263,983.75
  5. Step 5: Solve for x
    x = 5,161,263,983.75/48,043.13
  6. Step 6: Final answer
    x = 107,429.81

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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.