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Finding the Third Proportional to 18,086.63 and 39,191.63

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Solution

The third proportional to 18,086.63 and 39,191.63 is: 84,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.63 : 39,191.63 = 39,191.63 : x
  2. Step 2: Convert to fraction form
    18,086.63/39,191.63 = 39,191.63/x
  3. Step 3: Cross multiply
    18,086.63x = 39,191.63 × 39,191.63
  4. Step 4: Simplify right side
    18,086.63x = 1,535,983,470.14
  5. Step 5: Solve for x
    x = 1,535,983,470.14/18,086.63
  6. Step 6: Final answer
    x = 84,923.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.