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Finding the Third Proportional to 47,759.63 and 72,732.94

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Solution

The third proportional to 47,759.63 and 72,732.94 is: 110,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759.63 : 72,732.94 = 72,732.94 : x
  2. Step 2: Convert to fraction form
    47,759.63/72,732.94 = 72,732.94/x
  3. Step 3: Cross multiply
    47,759.63x = 72,732.94 × 72,732.94
  4. Step 4: Simplify right side
    47,759.63x = 5,290,080,197.38
  5. Step 5: Solve for x
    x = 5,290,080,197.38/47,759.63
  6. Step 6: Final answer
    x = 110,764.69

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