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Finding the Third Proportional to 3,605.13 and 9,108.70

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Solution

The third proportional to 3,605.13 and 9,108.70 is: 23,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.13 : 9,108.70 = 9,108.70 : x
  2. Step 2: Convert to fraction form
    3,605.13/9,108.70 = 9,108.70/x
  3. Step 3: Cross multiply
    3,605.13x = 9,108.70 × 9,108.70
  4. Step 4: Simplify right side
    3,605.13x = 82,968,472.62
  5. Step 5: Solve for x
    x = 82,968,472.62/3,605.13
  6. Step 6: Final answer
    x = 23,013.99

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.