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Finding the Third Proportional to 3,146.19 and 4,257.64

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Solution

The third proportional to 3,146.19 and 4,257.64 is: 5,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.19 : 4,257.64 = 4,257.64 : x
  2. Step 2: Convert to fraction form
    3,146.19/4,257.64 = 4,257.64/x
  3. Step 3: Cross multiply
    3,146.19x = 4,257.64 × 4,257.64
  4. Step 4: Simplify right side
    3,146.19x = 18,127,512.01
  5. Step 5: Solve for x
    x = 18,127,512.01/3,146.19
  6. Step 6: Final answer
    x = 5,761.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.