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Finding the Third Proportional to 16,174.69 and 17,632.69

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Solution

The third proportional to 16,174.69 and 17,632.69 is: 19,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.69 : 17,632.69 = 17,632.69 : x
  2. Step 2: Convert to fraction form
    16,174.69/17,632.69 = 17,632.69/x
  3. Step 3: Cross multiply
    16,174.69x = 17,632.69 × 17,632.69
  4. Step 4: Simplify right side
    16,174.69x = 310,911,668.47
  5. Step 5: Solve for x
    x = 310,911,668.47/16,174.69
  6. Step 6: Final answer
    x = 19,222.11

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.