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Finding the Third Proportional to 11,674.69 and 18,127.13

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Solution

The third proportional to 11,674.69 and 18,127.13 is: 28,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.69 : 18,127.13 = 18,127.13 : x
  2. Step 2: Convert to fraction form
    11,674.69/18,127.13 = 18,127.13/x
  3. Step 3: Cross multiply
    11,674.69x = 18,127.13 × 18,127.13
  4. Step 4: Simplify right side
    11,674.69x = 328,592,660.77
  5. Step 5: Solve for x
    x = 328,592,660.77/11,674.69
  6. Step 6: Final answer
    x = 28,145.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.