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Finding the Third Proportional to 24,318 and 37,215

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Solution

The third proportional to 24,318 and 37,215 is: 56,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 37,215 = 37,215 : x
  2. Step 2: Convert to fraction form
    24,318/37,215 = 37,215/x
  3. Step 3: Cross multiply
    24,318x = 37,215 × 37,215
  4. Step 4: Simplify right side
    24,318x = 1,384,956,225
  5. Step 5: Solve for x
    x = 1,384,956,225/24,318
  6. Step 6: Final answer
    x = 56,951.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.