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Finding the Third Proportional to 4,559.41 and 9,847.83

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Solution

The third proportional to 4,559.41 and 9,847.83 is: 21,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.41 : 9,847.83 = 9,847.83 : x
  2. Step 2: Convert to fraction form
    4,559.41/9,847.83 = 9,847.83/x
  3. Step 3: Cross multiply
    4,559.41x = 9,847.83 × 9,847.83
  4. Step 4: Simplify right side
    4,559.41x = 96,979,718.78
  5. Step 5: Solve for x
    x = 96,979,718.78/4,559.41
  6. Step 6: Final answer
    x = 21,270.22

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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.