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Finding the Third Proportional to 18,182 and 24,433

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Solution

The third proportional to 18,182 and 24,433 is: 32,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182 : 24,433 = 24,433 : x
  2. Step 2: Convert to fraction form
    18,182/24,433 = 24,433/x
  3. Step 3: Cross multiply
    18,182x = 24,433 × 24,433
  4. Step 4: Simplify right side
    18,182x = 596,971,489
  5. Step 5: Solve for x
    x = 596,971,489/18,182
  6. Step 6: Final answer
    x = 32,833.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.