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Finding the Third Proportional to 23,118 and 30,226.13

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Solution

The third proportional to 23,118 and 30,226.13 is: 39,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118 : 30,226.13 = 30,226.13 : x
  2. Step 2: Convert to fraction form
    23,118/30,226.13 = 30,226.13/x
  3. Step 3: Cross multiply
    23,118x = 30,226.13 × 30,226.13
  4. Step 4: Simplify right side
    23,118x = 913,618,632.52
  5. Step 5: Solve for x
    x = 913,618,632.52/23,118
  6. Step 6: Final answer
    x = 39,519.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.