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Finding the Third Proportional to 2,936 and 6,461

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Solution

The third proportional to 2,936 and 6,461 is: 14,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936 : 6,461 = 6,461 : x
  2. Step 2: Convert to fraction form
    2,936/6,461 = 6,461/x
  3. Step 3: Cross multiply
    2,936x = 6,461 × 6,461
  4. Step 4: Simplify right side
    2,936x = 41,744,521
  5. Step 5: Solve for x
    x = 41,744,521/2,936
  6. Step 6: Final answer
    x = 14,218.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.