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Finding the Third Proportional to 17,311.22 and 27,117.28

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Solution

The third proportional to 17,311.22 and 27,117.28 is: 42,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.22 : 27,117.28 = 27,117.28 : x
  2. Step 2: Convert to fraction form
    17,311.22/27,117.28 = 27,117.28/x
  3. Step 3: Cross multiply
    17,311.22x = 27,117.28 × 27,117.28
  4. Step 4: Simplify right side
    17,311.22x = 735,346,942.39
  5. Step 5: Solve for x
    x = 735,346,942.39/17,311.22
  6. Step 6: Final answer
    x = 42,478.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.