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Finding the Third Proportional to 2,304.56 and 4,999.36

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Solution

The third proportional to 2,304.56 and 4,999.36 is: 10,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.56 : 4,999.36 = 4,999.36 : x
  2. Step 2: Convert to fraction form
    2,304.56/4,999.36 = 4,999.36/x
  3. Step 3: Cross multiply
    2,304.56x = 4,999.36 × 4,999.36
  4. Step 4: Simplify right side
    2,304.56x = 24,993,594.16
  5. Step 5: Solve for x
    x = 24,993,594.16/2,304.56
  6. Step 6: Final answer
    x = 10,845.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.