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Finding the Third Proportional to 30,151.69 and 44,324.06

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Solution

The third proportional to 30,151.69 and 44,324.06 is: 65,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.69 : 44,324.06 = 44,324.06 : x
  2. Step 2: Convert to fraction form
    30,151.69/44,324.06 = 44,324.06/x
  3. Step 3: Cross multiply
    30,151.69x = 44,324.06 × 44,324.06
  4. Step 4: Simplify right side
    30,151.69x = 1,964,622,516.50
  5. Step 5: Solve for x
    x = 1,964,622,516.50/30,151.69
  6. Step 6: Final answer
    x = 65,157.96

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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.