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Finding the Third Proportional to 18,964.13 and 41,573.81

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Solution

The third proportional to 18,964.13 and 41,573.81 is: 91,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964.13 : 41,573.81 = 41,573.81 : x
  2. Step 2: Convert to fraction form
    18,964.13/41,573.81 = 41,573.81/x
  3. Step 3: Cross multiply
    18,964.13x = 41,573.81 × 41,573.81
  4. Step 4: Simplify right side
    18,964.13x = 1,728,381,885.79
  5. Step 5: Solve for x
    x = 1,728,381,885.79/18,964.13
  6. Step 6: Final answer
    x = 91,139.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.