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Finding the Third Proportional to 11,708.91 and 17,856.66

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Solution

The third proportional to 11,708.91 and 17,856.66 is: 27,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.91 : 17,856.66 = 17,856.66 : x
  2. Step 2: Convert to fraction form
    11,708.91/17,856.66 = 17,856.66/x
  3. Step 3: Cross multiply
    11,708.91x = 17,856.66 × 17,856.66
  4. Step 4: Simplify right side
    11,708.91x = 318,860,172.43
  5. Step 5: Solve for x
    x = 318,860,172.43/11,708.91
  6. Step 6: Final answer
    x = 27,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.