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Finding the Third Proportional to 27,477 and 52,764

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Solution

The third proportional to 27,477 and 52,764 is: 101,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 52,764 = 52,764 : x
  2. Step 2: Convert to fraction form
    27,477/52,764 = 52,764/x
  3. Step 3: Cross multiply
    27,477x = 52,764 × 52,764
  4. Step 4: Simplify right side
    27,477x = 2,784,039,696
  5. Step 5: Solve for x
    x = 2,784,039,696/27,477
  6. Step 6: Final answer
    x = 101,322.55

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.