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Finding the Third Proportional to 20,778 and 46,164

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Solution

The third proportional to 20,778 and 46,164 is: 102,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 46,164 = 46,164 : x
  2. Step 2: Convert to fraction form
    20,778/46,164 = 46,164/x
  3. Step 3: Cross multiply
    20,778x = 46,164 × 46,164
  4. Step 4: Simplify right side
    20,778x = 2,131,114,896
  5. Step 5: Solve for x
    x = 2,131,114,896/20,778
  6. Step 6: Final answer
    x = 102,565.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.