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Finding the Third Proportional to 17,784.98 and 26,794.76

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Solution

The third proportional to 17,784.98 and 26,794.76 is: 40,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.98 : 26,794.76 = 26,794.76 : x
  2. Step 2: Convert to fraction form
    17,784.98/26,794.76 = 26,794.76/x
  3. Step 3: Cross multiply
    17,784.98x = 26,794.76 × 26,794.76
  4. Step 4: Simplify right side
    17,784.98x = 717,959,046.23
  5. Step 5: Solve for x
    x = 717,959,046.23/17,784.98
  6. Step 6: Final answer
    x = 40,368.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.