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Finding the Third Proportional to 18,165.75 and 24,534.75

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Solution

The third proportional to 18,165.75 and 24,534.75 is: 33,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165.75 : 24,534.75 = 24,534.75 : x
  2. Step 2: Convert to fraction form
    18,165.75/24,534.75 = 24,534.75/x
  3. Step 3: Cross multiply
    18,165.75x = 24,534.75 × 24,534.75
  4. Step 4: Simplify right side
    18,165.75x = 601,953,957.56
  5. Step 5: Solve for x
    x = 601,953,957.56/18,165.75
  6. Step 6: Final answer
    x = 33,136.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.