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Finding the Third Proportional to 47,224 and 66,025

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Solution

The third proportional to 47,224 and 66,025 is: 92,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224 : 66,025 = 66,025 : x
  2. Step 2: Convert to fraction form
    47,224/66,025 = 66,025/x
  3. Step 3: Cross multiply
    47,224x = 66,025 × 66,025
  4. Step 4: Simplify right side
    47,224x = 4,359,300,625
  5. Step 5: Solve for x
    x = 4,359,300,625/47,224
  6. Step 6: Final answer
    x = 92,311.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.