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Finding the Third Proportional to 2,156 and 3,310.50

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Solution

The third proportional to 2,156 and 3,310.50 is: 5,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 3,310.50 = 3,310.50 : x
  2. Step 2: Convert to fraction form
    2,156/3,310.50 = 3,310.50/x
  3. Step 3: Cross multiply
    2,156x = 3,310.50 × 3,310.50
  4. Step 4: Simplify right side
    2,156x = 10,959,410.25
  5. Step 5: Solve for x
    x = 10,959,410.25/2,156
  6. Step 6: Final answer
    x = 5,083.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.