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Finding the Third Proportional to 18,558 and 24,345

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Solution

The third proportional to 18,558 and 24,345 is: 31,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558 : 24,345 = 24,345 : x
  2. Step 2: Convert to fraction form
    18,558/24,345 = 24,345/x
  3. Step 3: Cross multiply
    18,558x = 24,345 × 24,345
  4. Step 4: Simplify right side
    18,558x = 592,679,025
  5. Step 5: Solve for x
    x = 592,679,025/18,558
  6. Step 6: Final answer
    x = 31,936.58

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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.