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Finding the Third Proportional to 23,940 and 37,891.50

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Solution

The third proportional to 23,940 and 37,891.50 is: 59,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940 : 37,891.50 = 37,891.50 : x
  2. Step 2: Convert to fraction form
    23,940/37,891.50 = 37,891.50/x
  3. Step 3: Cross multiply
    23,940x = 37,891.50 × 37,891.50
  4. Step 4: Simplify right side
    23,940x = 1,435,765,772.25
  5. Step 5: Solve for x
    x = 1,435,765,772.25/23,940
  6. Step 6: Final answer
    x = 59,973.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.