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Finding the Third Proportional to 20,764.50 and 48,748

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Solution

The third proportional to 20,764.50 and 48,748 is: 114,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.50 : 48,748 = 48,748 : x
  2. Step 2: Convert to fraction form
    20,764.50/48,748 = 48,748/x
  3. Step 3: Cross multiply
    20,764.50x = 48,748 × 48,748
  4. Step 4: Simplify right side
    20,764.50x = 2,376,367,504
  5. Step 5: Solve for x
    x = 2,376,367,504/20,764.50
  6. Step 6: Final answer
    x = 114,443.76

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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.