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Finding the Third Proportional to 24,657.75 and 36,163.13

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Solution

The third proportional to 24,657.75 and 36,163.13 is: 53,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.75 : 36,163.13 = 36,163.13 : x
  2. Step 2: Convert to fraction form
    24,657.75/36,163.13 = 36,163.13/x
  3. Step 3: Cross multiply
    24,657.75x = 36,163.13 × 36,163.13
  4. Step 4: Simplify right side
    24,657.75x = 1,307,771,609.77
  5. Step 5: Solve for x
    x = 1,307,771,609.77/24,657.75
  6. Step 6: Final answer
    x = 53,036.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.