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Finding the Third Proportional to 10,666.69 and 18,721.13

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Solution

The third proportional to 10,666.69 and 18,721.13 is: 32,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.69 : 18,721.13 = 18,721.13 : x
  2. Step 2: Convert to fraction form
    10,666.69/18,721.13 = 18,721.13/x
  3. Step 3: Cross multiply
    10,666.69x = 18,721.13 × 18,721.13
  4. Step 4: Simplify right side
    10,666.69x = 350,480,521.27
  5. Step 5: Solve for x
    x = 350,480,521.27/10,666.69
  6. Step 6: Final answer
    x = 32,857.48

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.