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Finding the Third Proportional to 18,024.32 and 38,822.02

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Solution

The third proportional to 18,024.32 and 38,822.02 is: 83,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.32 : 38,822.02 = 38,822.02 : x
  2. Step 2: Convert to fraction form
    18,024.32/38,822.02 = 38,822.02/x
  3. Step 3: Cross multiply
    18,024.32x = 38,822.02 × 38,822.02
  4. Step 4: Simplify right side
    18,024.32x = 1,507,149,124.66
  5. Step 5: Solve for x
    x = 1,507,149,124.66/18,024.32
  6. Step 6: Final answer
    x = 83,617.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.