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Finding the Third Proportional to 2,310.61 and 3,384.70

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Solution

The third proportional to 2,310.61 and 3,384.70 is: 4,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.61 : 3,384.70 = 3,384.70 : x
  2. Step 2: Convert to fraction form
    2,310.61/3,384.70 = 3,384.70/x
  3. Step 3: Cross multiply
    2,310.61x = 3,384.70 × 3,384.70
  4. Step 4: Simplify right side
    2,310.61x = 11,456,215.24
  5. Step 5: Solve for x
    x = 11,456,215.24/2,310.61
  6. Step 6: Final answer
    x = 4,958.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.