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Finding the Third Proportional to 20,632 and 46,004

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Solution

The third proportional to 20,632 and 46,004 is: 102,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632 : 46,004 = 46,004 : x
  2. Step 2: Convert to fraction form
    20,632/46,004 = 46,004/x
  3. Step 3: Cross multiply
    20,632x = 46,004 × 46,004
  4. Step 4: Simplify right side
    20,632x = 2,116,368,016
  5. Step 5: Solve for x
    x = 2,116,368,016/20,632
  6. Step 6: Final answer
    x = 102,576.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.