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Finding the Third Proportional to 21,829.13 and 47,744.81

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Solution

The third proportional to 21,829.13 and 47,744.81 is: 104,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.13 : 47,744.81 = 47,744.81 : x
  2. Step 2: Convert to fraction form
    21,829.13/47,744.81 = 47,744.81/x
  3. Step 3: Cross multiply
    21,829.13x = 47,744.81 × 47,744.81
  4. Step 4: Simplify right side
    21,829.13x = 2,279,567,120.66
  5. Step 5: Solve for x
    x = 2,279,567,120.66/21,829.13
  6. Step 6: Final answer
    x = 104,427.78

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