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Finding the Third Proportional to 48,165.52 and 73,384.37

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Solution

The third proportional to 48,165.52 and 73,384.37 is: 111,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165.52 : 73,384.37 = 73,384.37 : x
  2. Step 2: Convert to fraction form
    48,165.52/73,384.37 = 73,384.37/x
  3. Step 3: Cross multiply
    48,165.52x = 73,384.37 × 73,384.37
  4. Step 4: Simplify right side
    48,165.52x = 5,385,265,544.59
  5. Step 5: Solve for x
    x = 5,385,265,544.59/48,165.52
  6. Step 6: Final answer
    x = 111,807.47

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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.