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Finding the Third Proportional to 11,215.50 and 17,355.75

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Solution

The third proportional to 11,215.50 and 17,355.75 is: 26,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.50 : 17,355.75 = 17,355.75 : x
  2. Step 2: Convert to fraction form
    11,215.50/17,355.75 = 17,355.75/x
  3. Step 3: Cross multiply
    11,215.50x = 17,355.75 × 17,355.75
  4. Step 4: Simplify right side
    11,215.50x = 301,222,058.06
  5. Step 5: Solve for x
    x = 301,222,058.06/11,215.50
  6. Step 6: Final answer
    x = 26,857.66

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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.