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Finding the Third Proportional to 17,201.74 and 26,585.40

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Solution

The third proportional to 17,201.74 and 26,585.40 is: 41,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.74 : 26,585.40 = 26,585.40 : x
  2. Step 2: Convert to fraction form
    17,201.74/26,585.40 = 26,585.40/x
  3. Step 3: Cross multiply
    17,201.74x = 26,585.40 × 26,585.40
  4. Step 4: Simplify right side
    17,201.74x = 706,783,617.78
  5. Step 5: Solve for x
    x = 706,783,617.78/17,201.74
  6. Step 6: Final answer
    x = 41,087.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.