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Finding the Third Proportional to 21,600.75 and 34,345.13

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Solution

The third proportional to 21,600.75 and 34,345.13 is: 54,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600.75 : 34,345.13 = 34,345.13 : x
  2. Step 2: Convert to fraction form
    21,600.75/34,345.13 = 34,345.13/x
  3. Step 3: Cross multiply
    21,600.75x = 34,345.13 × 34,345.13
  4. Step 4: Simplify right side
    21,600.75x = 1,179,587,611.27
  5. Step 5: Solve for x
    x = 1,179,587,611.27/21,600.75
  6. Step 6: Final answer
    x = 54,608.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.