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Finding the Third Proportional to 47,047 and 65,941

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Solution

The third proportional to 47,047 and 65,941 is: 92,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047 : 65,941 = 65,941 : x
  2. Step 2: Convert to fraction form
    47,047/65,941 = 65,941/x
  3. Step 3: Cross multiply
    47,047x = 65,941 × 65,941
  4. Step 4: Simplify right side
    47,047x = 4,348,215,481
  5. Step 5: Solve for x
    x = 4,348,215,481/47,047
  6. Step 6: Final answer
    x = 92,422.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.