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Finding the Third Proportional to 12,032.75 and 26,163.38

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Solution

The third proportional to 12,032.75 and 26,163.38 is: 56,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.75 : 26,163.38 = 26,163.38 : x
  2. Step 2: Convert to fraction form
    12,032.75/26,163.38 = 26,163.38/x
  3. Step 3: Cross multiply
    12,032.75x = 26,163.38 × 26,163.38
  4. Step 4: Simplify right side
    12,032.75x = 684,522,191.39
  5. Step 5: Solve for x
    x = 684,522,191.39/12,032.75
  6. Step 6: Final answer
    x = 56,888.26

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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.