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Finding the Third Proportional to 4,704.75 and 6,634.13

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Solution

The third proportional to 4,704.75 and 6,634.13 is: 9,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.75 : 6,634.13 = 6,634.13 : x
  2. Step 2: Convert to fraction form
    4,704.75/6,634.13 = 6,634.13/x
  3. Step 3: Cross multiply
    4,704.75x = 6,634.13 × 6,634.13
  4. Step 4: Simplify right side
    4,704.75x = 44,011,614.52
  5. Step 5: Solve for x
    x = 44,011,614.52/4,704.75
  6. Step 6: Final answer
    x = 9,354.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.