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Finding the Third Proportional to 2,934.56 and 4,384.97

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Solution

The third proportional to 2,934.56 and 4,384.97 is: 6,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.56 : 4,384.97 = 4,384.97 : x
  2. Step 2: Convert to fraction form
    2,934.56/4,384.97 = 4,384.97/x
  3. Step 3: Cross multiply
    2,934.56x = 4,384.97 × 4,384.97
  4. Step 4: Simplify right side
    2,934.56x = 19,227,950.94
  5. Step 5: Solve for x
    x = 19,227,950.94/2,934.56
  6. Step 6: Final answer
    x = 6,552.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.