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Finding the Third Proportional to 2,439.02 and 4,969.16

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Solution

The third proportional to 2,439.02 and 4,969.16 is: 10,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.02 : 4,969.16 = 4,969.16 : x
  2. Step 2: Convert to fraction form
    2,439.02/4,969.16 = 4,969.16/x
  3. Step 3: Cross multiply
    2,439.02x = 4,969.16 × 4,969.16
  4. Step 4: Simplify right side
    2,439.02x = 24,692,552.66
  5. Step 5: Solve for x
    x = 24,692,552.66/2,439.02
  6. Step 6: Final answer
    x = 10,123.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.