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Finding the Third Proportional to 47,296 and 63,114

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Solution

The third proportional to 47,296 and 63,114 is: 84,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296 : 63,114 = 63,114 : x
  2. Step 2: Convert to fraction form
    47,296/63,114 = 63,114/x
  3. Step 3: Cross multiply
    47,296x = 63,114 × 63,114
  4. Step 4: Simplify right side
    47,296x = 3,983,376,996
  5. Step 5: Solve for x
    x = 3,983,376,996/47,296
  6. Step 6: Final answer
    x = 84,222.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.