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Finding the Third Proportional to 21,849.75 and 47,815.31

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Solution

The third proportional to 21,849.75 and 47,815.31 is: 104,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 47,815.31 = 47,815.31 : x
  2. Step 2: Convert to fraction form
    21,849.75/47,815.31 = 47,815.31/x
  3. Step 3: Cross multiply
    21,849.75x = 47,815.31 × 47,815.31
  4. Step 4: Simplify right side
    21,849.75x = 2,286,304,109.47
  5. Step 5: Solve for x
    x = 2,286,304,109.47/21,849.75
  6. Step 6: Final answer
    x = 104,637.54

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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.