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Finding the Third Proportional to 17,006 and 26,813.25

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Solution

The third proportional to 17,006 and 26,813.25 is: 42,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006 : 26,813.25 = 26,813.25 : x
  2. Step 2: Convert to fraction form
    17,006/26,813.25 = 26,813.25/x
  3. Step 3: Cross multiply
    17,006x = 26,813.25 × 26,813.25
  4. Step 4: Simplify right side
    17,006x = 718,950,375.56
  5. Step 5: Solve for x
    x = 718,950,375.56/17,006
  6. Step 6: Final answer
    x = 42,276.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.