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Finding the Third Proportional to 2,204.09 and 4,754.16

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Solution

The third proportional to 2,204.09 and 4,754.16 is: 10,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.09 : 4,754.16 = 4,754.16 : x
  2. Step 2: Convert to fraction form
    2,204.09/4,754.16 = 4,754.16/x
  3. Step 3: Cross multiply
    2,204.09x = 4,754.16 × 4,754.16
  4. Step 4: Simplify right side
    2,204.09x = 22,602,057.36
  5. Step 5: Solve for x
    x = 22,602,057.36/2,204.09
  6. Step 6: Final answer
    x = 10,254.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.