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Finding the Third Proportional to 17,106.19 and 22,006.69

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Solution

The third proportional to 17,106.19 and 22,006.69 is: 28,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.19 : 22,006.69 = 22,006.69 : x
  2. Step 2: Convert to fraction form
    17,106.19/22,006.69 = 22,006.69/x
  3. Step 3: Cross multiply
    17,106.19x = 22,006.69 × 22,006.69
  4. Step 4: Simplify right side
    17,106.19x = 484,294,294.72
  5. Step 5: Solve for x
    x = 484,294,294.72/17,106.19
  6. Step 6: Final answer
    x = 28,311.06

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.