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Finding the Third Proportional to 7,408.13 and 17,706.94

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Solution

The third proportional to 7,408.13 and 17,706.94 is: 42,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.13 : 17,706.94 = 17,706.94 : x
  2. Step 2: Convert to fraction form
    7,408.13/17,706.94 = 17,706.94/x
  3. Step 3: Cross multiply
    7,408.13x = 17,706.94 × 17,706.94
  4. Step 4: Simplify right side
    7,408.13x = 313,535,635.63
  5. Step 5: Solve for x
    x = 313,535,635.63/7,408.13
  6. Step 6: Final answer
    x = 42,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.