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Finding the Third Proportional to 11,670.75 and 17,535.66

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Solution

The third proportional to 11,670.75 and 17,535.66 is: 26,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.75 : 17,535.66 = 17,535.66 : x
  2. Step 2: Convert to fraction form
    11,670.75/17,535.66 = 17,535.66/x
  3. Step 3: Cross multiply
    11,670.75x = 17,535.66 × 17,535.66
  4. Step 4: Simplify right side
    11,670.75x = 307,499,240.12
  5. Step 5: Solve for x
    x = 307,499,240.12/11,670.75
  6. Step 6: Final answer
    x = 26,347.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.