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Finding the Third Proportional to 18,966.94 and 27,320.63

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Solution

The third proportional to 18,966.94 and 27,320.63 is: 39,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966.94 : 27,320.63 = 27,320.63 : x
  2. Step 2: Convert to fraction form
    18,966.94/27,320.63 = 27,320.63/x
  3. Step 3: Cross multiply
    18,966.94x = 27,320.63 × 27,320.63
  4. Step 4: Simplify right side
    18,966.94x = 746,416,550.39
  5. Step 5: Solve for x
    x = 746,416,550.39/18,966.94
  6. Step 6: Final answer
    x = 39,353.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.