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Finding the Third Proportional to 47,764 and 72,392

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Solution

The third proportional to 47,764 and 72,392 is: 109,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 72,392 = 72,392 : x
  2. Step 2: Convert to fraction form
    47,764/72,392 = 72,392/x
  3. Step 3: Cross multiply
    47,764x = 72,392 × 72,392
  4. Step 4: Simplify right side
    47,764x = 5,240,601,664
  5. Step 5: Solve for x
    x = 5,240,601,664/47,764
  6. Step 6: Final answer
    x = 109,718.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.