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Finding the Third Proportional to 29,538.94 and 44,115.19

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Solution

The third proportional to 29,538.94 and 44,115.19 is: 65,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.94 : 44,115.19 = 44,115.19 : x
  2. Step 2: Convert to fraction form
    29,538.94/44,115.19 = 44,115.19/x
  3. Step 3: Cross multiply
    29,538.94x = 44,115.19 × 44,115.19
  4. Step 4: Simplify right side
    29,538.94x = 1,946,149,768.16
  5. Step 5: Solve for x
    x = 1,946,149,768.16/29,538.94
  6. Step 6: Final answer
    x = 65,884.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.