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Finding the Third Proportional to 2,327.06 and 5,018.81

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Solution

The third proportional to 2,327.06 and 5,018.81 is: 10,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.06 : 5,018.81 = 5,018.81 : x
  2. Step 2: Convert to fraction form
    2,327.06/5,018.81 = 5,018.81/x
  3. Step 3: Cross multiply
    2,327.06x = 5,018.81 × 5,018.81
  4. Step 4: Simplify right side
    2,327.06x = 25,188,478.91
  5. Step 5: Solve for x
    x = 25,188,478.91/2,327.06
  6. Step 6: Final answer
    x = 10,824.15

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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.