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Finding the Third Proportional to 47,600 and 66,943

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Solution

The third proportional to 47,600 and 66,943 is: 94,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600 : 66,943 = 66,943 : x
  2. Step 2: Convert to fraction form
    47,600/66,943 = 66,943/x
  3. Step 3: Cross multiply
    47,600x = 66,943 × 66,943
  4. Step 4: Simplify right side
    47,600x = 4,481,365,249
  5. Step 5: Solve for x
    x = 4,481,365,249/47,600
  6. Step 6: Final answer
    x = 94,146.33

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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.