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Finding the Third Proportional to 2,156 and 3,301.50

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Solution

The third proportional to 2,156 and 3,301.50 is: 5,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 3,301.50 = 3,301.50 : x
  2. Step 2: Convert to fraction form
    2,156/3,301.50 = 3,301.50/x
  3. Step 3: Cross multiply
    2,156x = 3,301.50 × 3,301.50
  4. Step 4: Simplify right side
    2,156x = 10,899,902.25
  5. Step 5: Solve for x
    x = 10,899,902.25/2,156
  6. Step 6: Final answer
    x = 5,055.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.