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Finding the Third Proportional to 47,999 and 63,692

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Solution

The third proportional to 47,999 and 63,692 is: 84,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999 : 63,692 = 63,692 : x
  2. Step 2: Convert to fraction form
    47,999/63,692 = 63,692/x
  3. Step 3: Cross multiply
    47,999x = 63,692 × 63,692
  4. Step 4: Simplify right side
    47,999x = 4,056,670,864
  5. Step 5: Solve for x
    x = 4,056,670,864/47,999
  6. Step 6: Final answer
    x = 84,515.74

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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.