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Finding the Third Proportional to 20,164 and 44,165

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Solution

The third proportional to 20,164 and 44,165 is: 96,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 44,165 = 44,165 : x
  2. Step 2: Convert to fraction form
    20,164/44,165 = 44,165/x
  3. Step 3: Cross multiply
    20,164x = 44,165 × 44,165
  4. Step 4: Simplify right side
    20,164x = 1,950,547,225
  5. Step 5: Solve for x
    x = 1,950,547,225/20,164
  6. Step 6: Final answer
    x = 96,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.