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Finding the Third Proportional to 5,873.23 and 12,232.47

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Solution

The third proportional to 5,873.23 and 12,232.47 is: 25,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.23 : 12,232.47 = 12,232.47 : x
  2. Step 2: Convert to fraction form
    5,873.23/12,232.47 = 12,232.47/x
  3. Step 3: Cross multiply
    5,873.23x = 12,232.47 × 12,232.47
  4. Step 4: Simplify right side
    5,873.23x = 149,633,291.72
  5. Step 5: Solve for x
    x = 149,633,291.72/5,873.23
  6. Step 6: Final answer
    x = 25,477.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.