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Finding the Third Proportional to 23,889.94 and 37,839.66

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Solution

The third proportional to 23,889.94 and 37,839.66 is: 59,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889.94 : 37,839.66 = 37,839.66 : x
  2. Step 2: Convert to fraction form
    23,889.94/37,839.66 = 37,839.66/x
  3. Step 3: Cross multiply
    23,889.94x = 37,839.66 × 37,839.66
  4. Step 4: Simplify right side
    23,889.94x = 1,431,839,585.12
  5. Step 5: Solve for x
    x = 1,431,839,585.12/23,889.94
  6. Step 6: Final answer
    x = 59,934.84

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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.