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Finding the Third Proportional to 2,238.75 and 3,486.38

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Solution

The third proportional to 2,238.75 and 3,486.38 is: 5,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.75 : 3,486.38 = 3,486.38 : x
  2. Step 2: Convert to fraction form
    2,238.75/3,486.38 = 3,486.38/x
  3. Step 3: Cross multiply
    2,238.75x = 3,486.38 × 3,486.38
  4. Step 4: Simplify right side
    2,238.75x = 12,154,810.64
  5. Step 5: Solve for x
    x = 12,154,810.64/2,238.75
  6. Step 6: Final answer
    x = 5,429.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.