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Finding the Third Proportional to 2,811.17 and 4,238.38

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Solution

The third proportional to 2,811.17 and 4,238.38 is: 6,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.17 : 4,238.38 = 4,238.38 : x
  2. Step 2: Convert to fraction form
    2,811.17/4,238.38 = 4,238.38/x
  3. Step 3: Cross multiply
    2,811.17x = 4,238.38 × 4,238.38
  4. Step 4: Simplify right side
    2,811.17x = 17,963,868.17
  5. Step 5: Solve for x
    x = 17,963,868.17/2,811.17
  6. Step 6: Final answer
    x = 6,390.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.