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Finding the Third Proportional to 52,855 and 72,477

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Solution

The third proportional to 52,855 and 72,477 is: 99,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855 : 72,477 = 72,477 : x
  2. Step 2: Convert to fraction form
    52,855/72,477 = 72,477/x
  3. Step 3: Cross multiply
    52,855x = 72,477 × 72,477
  4. Step 4: Simplify right side
    52,855x = 5,252,915,529
  5. Step 5: Solve for x
    x = 5,252,915,529/52,855
  6. Step 6: Final answer
    x = 99,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.