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Finding the Third Proportional to 47,146 and 66,831

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Solution

The third proportional to 47,146 and 66,831 is: 94,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146 : 66,831 = 66,831 : x
  2. Step 2: Convert to fraction form
    47,146/66,831 = 66,831/x
  3. Step 3: Cross multiply
    47,146x = 66,831 × 66,831
  4. Step 4: Simplify right side
    47,146x = 4,466,382,561
  5. Step 5: Solve for x
    x = 4,466,382,561/47,146
  6. Step 6: Final answer
    x = 94,735.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.