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Finding the Third Proportional to 23,732.37 and 50,642.72

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Solution

The third proportional to 23,732.37 and 50,642.72 is: 108,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.37 : 50,642.72 = 50,642.72 : x
  2. Step 2: Convert to fraction form
    23,732.37/50,642.72 = 50,642.72/x
  3. Step 3: Cross multiply
    23,732.37x = 50,642.72 × 50,642.72
  4. Step 4: Simplify right side
    23,732.37x = 2,564,684,962.39
  5. Step 5: Solve for x
    x = 2,564,684,962.39/23,732.37
  6. Step 6: Final answer
    x = 108,066.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.