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Finding the Third Proportional to 20,518 and 42,764

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Solution

The third proportional to 20,518 and 42,764 is: 89,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518 : 42,764 = 42,764 : x
  2. Step 2: Convert to fraction form
    20,518/42,764 = 42,764/x
  3. Step 3: Cross multiply
    20,518x = 42,764 × 42,764
  4. Step 4: Simplify right side
    20,518x = 1,828,759,696
  5. Step 5: Solve for x
    x = 1,828,759,696/20,518
  6. Step 6: Final answer
    x = 89,129.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.