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Finding the Third Proportional to 20,646 and 46,008

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Solution

The third proportional to 20,646 and 46,008 is: 102,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 46,008 = 46,008 : x
  2. Step 2: Convert to fraction form
    20,646/46,008 = 46,008/x
  3. Step 3: Cross multiply
    20,646x = 46,008 × 46,008
  4. Step 4: Simplify right side
    20,646x = 2,116,736,064
  5. Step 5: Solve for x
    x = 2,116,736,064/20,646
  6. Step 6: Final answer
    x = 102,525.24

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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.