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Finding the Third Proportional to 3,107 and 6,613

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Solution

The third proportional to 3,107 and 6,613 is: 14,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107 : 6,613 = 6,613 : x
  2. Step 2: Convert to fraction form
    3,107/6,613 = 6,613/x
  3. Step 3: Cross multiply
    3,107x = 6,613 × 6,613
  4. Step 4: Simplify right side
    3,107x = 43,731,769
  5. Step 5: Solve for x
    x = 43,731,769/3,107
  6. Step 6: Final answer
    x = 14,075.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.