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Finding the Third Proportional to 47,009 and 65,883

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Solution

The third proportional to 47,009 and 65,883 is: 92,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009 : 65,883 = 65,883 : x
  2. Step 2: Convert to fraction form
    47,009/65,883 = 65,883/x
  3. Step 3: Cross multiply
    47,009x = 65,883 × 65,883
  4. Step 4: Simplify right side
    47,009x = 4,340,569,689
  5. Step 5: Solve for x
    x = 4,340,569,689/47,009
  6. Step 6: Final answer
    x = 92,334.87

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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.