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Finding the Third Proportional to 3,140 and 3,653

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Solution

The third proportional to 3,140 and 3,653 is: 4,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 3,653 = 3,653 : x
  2. Step 2: Convert to fraction form
    3,140/3,653 = 3,653/x
  3. Step 3: Cross multiply
    3,140x = 3,653 × 3,653
  4. Step 4: Simplify right side
    3,140x = 13,344,409
  5. Step 5: Solve for x
    x = 13,344,409/3,140
  6. Step 6: Final answer
    x = 4,249.81

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.