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Finding the Third Proportional to 21,241.13 and 46,174.50

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Solution

The third proportional to 21,241.13 and 46,174.50 is: 100,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.13 : 46,174.50 = 46,174.50 : x
  2. Step 2: Convert to fraction form
    21,241.13/46,174.50 = 46,174.50/x
  3. Step 3: Cross multiply
    21,241.13x = 46,174.50 × 46,174.50
  4. Step 4: Simplify right side
    21,241.13x = 2,132,084,450.25
  5. Step 5: Solve for x
    x = 2,132,084,450.25/21,241.13
  6. Step 6: Final answer
    x = 100,375.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.