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Finding the Third Proportional to 2,299 and 4,942

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Solution

The third proportional to 2,299 and 4,942 is: 10,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 4,942 = 4,942 : x
  2. Step 2: Convert to fraction form
    2,299/4,942 = 4,942/x
  3. Step 3: Cross multiply
    2,299x = 4,942 × 4,942
  4. Step 4: Simplify right side
    2,299x = 24,423,364
  5. Step 5: Solve for x
    x = 24,423,364/2,299
  6. Step 6: Final answer
    x = 10,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.