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Finding the Third Proportional to 3,738.19 and 5,804.81

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Solution

The third proportional to 3,738.19 and 5,804.81 is: 9,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.19 : 5,804.81 = 5,804.81 : x
  2. Step 2: Convert to fraction form
    3,738.19/5,804.81 = 5,804.81/x
  3. Step 3: Cross multiply
    3,738.19x = 5,804.81 × 5,804.81
  4. Step 4: Simplify right side
    3,738.19x = 33,695,848.16
  5. Step 5: Solve for x
    x = 33,695,848.16/3,738.19
  6. Step 6: Final answer
    x = 9,013.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.