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Finding the Third Proportional to 10,942.59 and 17,002.41

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Solution

The third proportional to 10,942.59 and 17,002.41 is: 26,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.59 : 17,002.41 = 17,002.41 : x
  2. Step 2: Convert to fraction form
    10,942.59/17,002.41 = 17,002.41/x
  3. Step 3: Cross multiply
    10,942.59x = 17,002.41 × 17,002.41
  4. Step 4: Simplify right side
    10,942.59x = 289,081,818.29
  5. Step 5: Solve for x
    x = 289,081,818.29/10,942.59
  6. Step 6: Final answer
    x = 26,418.03

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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.