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Finding the Third Proportional to 2,736.28 and 3,670.95

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Solution

The third proportional to 2,736.28 and 3,670.95 is: 4,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.28 : 3,670.95 = 3,670.95 : x
  2. Step 2: Convert to fraction form
    2,736.28/3,670.95 = 3,670.95/x
  3. Step 3: Cross multiply
    2,736.28x = 3,670.95 × 3,670.95
  4. Step 4: Simplify right side
    2,736.28x = 13,475,839.49
  5. Step 5: Solve for x
    x = 13,475,839.49/2,736.28
  6. Step 6: Final answer
    x = 4,924.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.