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Finding the Third Proportional to 3,014 and 6,461

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Solution

The third proportional to 3,014 and 6,461 is: 13,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014 : 6,461 = 6,461 : x
  2. Step 2: Convert to fraction form
    3,014/6,461 = 6,461/x
  3. Step 3: Cross multiply
    3,014x = 6,461 × 6,461
  4. Step 4: Simplify right side
    3,014x = 41,744,521
  5. Step 5: Solve for x
    x = 41,744,521/3,014
  6. Step 6: Final answer
    x = 13,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.