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Finding the Third Proportional to 20,764 and 48,746.75

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Solution

The third proportional to 20,764 and 48,746.75 is: 114,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 48,746.75 = 48,746.75 : x
  2. Step 2: Convert to fraction form
    20,764/48,746.75 = 48,746.75/x
  3. Step 3: Cross multiply
    20,764x = 48,746.75 × 48,746.75
  4. Step 4: Simplify right side
    20,764x = 2,376,245,635.56
  5. Step 5: Solve for x
    x = 2,376,245,635.56/20,764
  6. Step 6: Final answer
    x = 114,440.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.