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Finding the Third Proportional to 31,695 and 47,050.50

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Solution

The third proportional to 31,695 and 47,050.50 is: 69,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695 : 47,050.50 = 47,050.50 : x
  2. Step 2: Convert to fraction form
    31,695/47,050.50 = 47,050.50/x
  3. Step 3: Cross multiply
    31,695x = 47,050.50 × 47,050.50
  4. Step 4: Simplify right side
    31,695x = 2,213,749,550.25
  5. Step 5: Solve for x
    x = 2,213,749,550.25/31,695
  6. Step 6: Final answer
    x = 69,845.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.