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Finding the Third Proportional to 42,846 and 65,901

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Solution

The third proportional to 42,846 and 65,901 is: 101,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,846 : 65,901 = 65,901 : x
  2. Step 2: Convert to fraction form
    42,846/65,901 = 65,901/x
  3. Step 3: Cross multiply
    42,846x = 65,901 × 65,901
  4. Step 4: Simplify right side
    42,846x = 4,342,941,801
  5. Step 5: Solve for x
    x = 4,342,941,801/42,846
  6. Step 6: Final answer
    x = 101,361.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.