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Finding the Third Proportional to 2,277.28 and 3,436.59

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Solution

The third proportional to 2,277.28 and 3,436.59 is: 5,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.28 : 3,436.59 = 3,436.59 : x
  2. Step 2: Convert to fraction form
    2,277.28/3,436.59 = 3,436.59/x
  3. Step 3: Cross multiply
    2,277.28x = 3,436.59 × 3,436.59
  4. Step 4: Simplify right side
    2,277.28x = 11,810,176.60
  5. Step 5: Solve for x
    x = 11,810,176.60/2,277.28
  6. Step 6: Final answer
    x = 5,186.09

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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.