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Finding the Third Proportional to 24,813 and 47,115

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Solution

The third proportional to 24,813 and 47,115 is: 89,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813 : 47,115 = 47,115 : x
  2. Step 2: Convert to fraction form
    24,813/47,115 = 47,115/x
  3. Step 3: Cross multiply
    24,813x = 47,115 × 47,115
  4. Step 4: Simplify right side
    24,813x = 2,219,823,225
  5. Step 5: Solve for x
    x = 2,219,823,225/24,813
  6. Step 6: Final answer
    x = 89,462.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.