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Finding the Third Proportional to 2,299 and 4,961

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Solution

The third proportional to 2,299 and 4,961 is: 10,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 4,961 = 4,961 : x
  2. Step 2: Convert to fraction form
    2,299/4,961 = 4,961/x
  3. Step 3: Cross multiply
    2,299x = 4,961 × 4,961
  4. Step 4: Simplify right side
    2,299x = 24,611,521
  5. Step 5: Solve for x
    x = 24,611,521/2,299
  6. Step 6: Final answer
    x = 10,705.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.