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Finding the Third Proportional to 2,146 and 3,344.50

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Solution

The third proportional to 2,146 and 3,344.50 is: 5,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 3,344.50 = 3,344.50 : x
  2. Step 2: Convert to fraction form
    2,146/3,344.50 = 3,344.50/x
  3. Step 3: Cross multiply
    2,146x = 3,344.50 × 3,344.50
  4. Step 4: Simplify right side
    2,146x = 11,185,680.25
  5. Step 5: Solve for x
    x = 11,185,680.25/2,146
  6. Step 6: Final answer
    x = 5,212.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.