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Finding the Third Proportional to 46,847.25 and 71,440.88

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Solution

The third proportional to 46,847.25 and 71,440.88 is: 108,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,847.25 : 71,440.88 = 71,440.88 : x
  2. Step 2: Convert to fraction form
    46,847.25/71,440.88 = 71,440.88/x
  3. Step 3: Cross multiply
    46,847.25x = 71,440.88 × 71,440.88
  4. Step 4: Simplify right side
    46,847.25x = 5,103,798,620.77
  5. Step 5: Solve for x
    x = 5,103,798,620.77/46,847.25
  6. Step 6: Final answer
    x = 108,945.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.