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Finding the Third Proportional to 3,736.13 and 5,429.53

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Solution

The third proportional to 3,736.13 and 5,429.53 is: 7,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.13 : 5,429.53 = 5,429.53 : x
  2. Step 2: Convert to fraction form
    3,736.13/5,429.53 = 5,429.53/x
  3. Step 3: Cross multiply
    3,736.13x = 5,429.53 × 5,429.53
  4. Step 4: Simplify right side
    3,736.13x = 29,479,809.59
  5. Step 5: Solve for x
    x = 29,479,809.59/3,736.13
  6. Step 6: Final answer
    x = 7,890.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.