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Finding the Third Proportional to 12,320.44 and 18,496.69

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Solution

The third proportional to 12,320.44 and 18,496.69 is: 27,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.44 : 18,496.69 = 18,496.69 : x
  2. Step 2: Convert to fraction form
    12,320.44/18,496.69 = 18,496.69/x
  3. Step 3: Cross multiply
    12,320.44x = 18,496.69 × 18,496.69
  4. Step 4: Simplify right side
    12,320.44x = 342,127,448.47
  5. Step 5: Solve for x
    x = 342,127,448.47/12,320.44
  6. Step 6: Final answer
    x = 27,769.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.