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Finding the Third Proportional to 12,399.75 and 21,888.56

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Solution

The third proportional to 12,399.75 and 21,888.56 is: 38,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.75 : 21,888.56 = 21,888.56 : x
  2. Step 2: Convert to fraction form
    12,399.75/21,888.56 = 21,888.56/x
  3. Step 3: Cross multiply
    12,399.75x = 21,888.56 × 21,888.56
  4. Step 4: Simplify right side
    12,399.75x = 479,109,168.32
  5. Step 5: Solve for x
    x = 479,109,168.32/12,399.75
  6. Step 6: Final answer
    x = 38,638.62

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.