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Finding the Third Proportional to 48,733.37 and 105,001.63

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Solution

The third proportional to 48,733.37 and 105,001.63 is: 226,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,733.37 : 105,001.63 = 105,001.63 : x
  2. Step 2: Convert to fraction form
    48,733.37/105,001.63 = 105,001.63/x
  3. Step 3: Cross multiply
    48,733.37x = 105,001.63 × 105,001.63
  4. Step 4: Simplify right side
    48,733.37x = 11,025,342,072.97
  5. Step 5: Solve for x
    x = 11,025,342,072.97/48,733.37
  6. Step 6: Final answer
    x = 226,238.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.