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Finding the Third Proportional to 3,153.94 and 4,634.72

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Solution

The third proportional to 3,153.94 and 4,634.72 is: 6,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.94 : 4,634.72 = 4,634.72 : x
  2. Step 2: Convert to fraction form
    3,153.94/4,634.72 = 4,634.72/x
  3. Step 3: Cross multiply
    3,153.94x = 4,634.72 × 4,634.72
  4. Step 4: Simplify right side
    3,153.94x = 21,480,617.89
  5. Step 5: Solve for x
    x = 21,480,617.89/3,153.94
  6. Step 6: Final answer
    x = 6,810.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.