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Finding the Third Proportional to 44,799 and 65,901

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Solution

The third proportional to 44,799 and 65,901 is: 96,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,799 : 65,901 = 65,901 : x
  2. Step 2: Convert to fraction form
    44,799/65,901 = 65,901/x
  3. Step 3: Cross multiply
    44,799x = 65,901 × 65,901
  4. Step 4: Simplify right side
    44,799x = 4,342,941,801
  5. Step 5: Solve for x
    x = 4,342,941,801/44,799
  6. Step 6: Final answer
    x = 96,942.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.