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Finding the Third Proportional to 17,691.54 and 26,297.16

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Solution

The third proportional to 17,691.54 and 26,297.16 is: 39,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.54 : 26,297.16 = 26,297.16 : x
  2. Step 2: Convert to fraction form
    17,691.54/26,297.16 = 26,297.16/x
  3. Step 3: Cross multiply
    17,691.54x = 26,297.16 × 26,297.16
  4. Step 4: Simplify right side
    17,691.54x = 691,540,426.84
  5. Step 5: Solve for x
    x = 691,540,426.84/17,691.54
  6. Step 6: Final answer
    x = 39,088.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.