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Finding the Third Proportional to 23,147 and 36,310

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Solution

The third proportional to 23,147 and 36,310 is: 56,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147 : 36,310 = 36,310 : x
  2. Step 2: Convert to fraction form
    23,147/36,310 = 36,310/x
  3. Step 3: Cross multiply
    23,147x = 36,310 × 36,310
  4. Step 4: Simplify right side
    23,147x = 1,318,416,100
  5. Step 5: Solve for x
    x = 1,318,416,100/23,147
  6. Step 6: Final answer
    x = 56,958.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.