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Finding the Third Proportional to 3,140.96 and 4,436.17

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Solution

The third proportional to 3,140.96 and 4,436.17 is: 6,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.96 : 4,436.17 = 4,436.17 : x
  2. Step 2: Convert to fraction form
    3,140.96/4,436.17 = 4,436.17/x
  3. Step 3: Cross multiply
    3,140.96x = 4,436.17 × 4,436.17
  4. Step 4: Simplify right side
    3,140.96x = 19,679,638.23
  5. Step 5: Solve for x
    x = 19,679,638.23/3,140.96
  6. Step 6: Final answer
    x = 6,265.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.