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Finding the Third Proportional to 3,758.91 and 5,605.45

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Solution

The third proportional to 3,758.91 and 5,605.45 is: 8,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.91 : 5,605.45 = 5,605.45 : x
  2. Step 2: Convert to fraction form
    3,758.91/5,605.45 = 5,605.45/x
  3. Step 3: Cross multiply
    3,758.91x = 5,605.45 × 5,605.45
  4. Step 4: Simplify right side
    3,758.91x = 31,421,104.74
  5. Step 5: Solve for x
    x = 31,421,104.74/3,758.91
  6. Step 6: Final answer
    x = 8,359.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.