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Finding the Third Proportional to 52,338 and 69,651

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Solution

The third proportional to 52,338 and 69,651 is: 92,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338 : 69,651 = 69,651 : x
  2. Step 2: Convert to fraction form
    52,338/69,651 = 69,651/x
  3. Step 3: Cross multiply
    52,338x = 69,651 × 69,651
  4. Step 4: Simplify right side
    52,338x = 4,851,261,801
  5. Step 5: Solve for x
    x = 4,851,261,801/52,338
  6. Step 6: Final answer
    x = 92,691.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.