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Finding the Third Proportional to 31,042.13 and 47,563.88

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Solution

The third proportional to 31,042.13 and 47,563.88 is: 72,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.13 : 47,563.88 = 47,563.88 : x
  2. Step 2: Convert to fraction form
    31,042.13/47,563.88 = 47,563.88/x
  3. Step 3: Cross multiply
    31,042.13x = 47,563.88 × 47,563.88
  4. Step 4: Simplify right side
    31,042.13x = 2,262,322,205.02
  5. Step 5: Solve for x
    x = 2,262,322,205.02/31,042.13
  6. Step 6: Final answer
    x = 72,879.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.