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Finding the Third Proportional to 23,935.50 and 50,787

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Solution

The third proportional to 23,935.50 and 50,787 is: 107,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,935.50 : 50,787 = 50,787 : x
  2. Step 2: Convert to fraction form
    23,935.50/50,787 = 50,787/x
  3. Step 3: Cross multiply
    23,935.50x = 50,787 × 50,787
  4. Step 4: Simplify right side
    23,935.50x = 2,579,319,369
  5. Step 5: Solve for x
    x = 2,579,319,369/23,935.50
  6. Step 6: Final answer
    x = 107,761.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.