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Finding the Third Proportional to 2,736.91 and 4,222.76

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Solution

The third proportional to 2,736.91 and 4,222.76 is: 6,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.91 : 4,222.76 = 4,222.76 : x
  2. Step 2: Convert to fraction form
    2,736.91/4,222.76 = 4,222.76/x
  3. Step 3: Cross multiply
    2,736.91x = 4,222.76 × 4,222.76
  4. Step 4: Simplify right side
    2,736.91x = 17,831,683.54
  5. Step 5: Solve for x
    x = 17,831,683.54/2,736.91
  6. Step 6: Final answer
    x = 6,515.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.