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Finding the Third Proportional to 47,599 and 66,942

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Solution

The third proportional to 47,599 and 66,942 is: 94,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,599 : 66,942 = 66,942 : x
  2. Step 2: Convert to fraction form
    47,599/66,942 = 66,942/x
  3. Step 3: Cross multiply
    47,599x = 66,942 × 66,942
  4. Step 4: Simplify right side
    47,599x = 4,481,231,364
  5. Step 5: Solve for x
    x = 4,481,231,364/47,599
  6. Step 6: Final answer
    x = 94,145.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.