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Finding the Third Proportional to 20,164 and 46,630

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Solution

The third proportional to 20,164 and 46,630 is: 107,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 46,630 = 46,630 : x
  2. Step 2: Convert to fraction form
    20,164/46,630 = 46,630/x
  3. Step 3: Cross multiply
    20,164x = 46,630 × 46,630
  4. Step 4: Simplify right side
    20,164x = 2,174,356,900
  5. Step 5: Solve for x
    x = 2,174,356,900/20,164
  6. Step 6: Final answer
    x = 107,833.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.