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Finding the Third Proportional to 31,104 and 44,349.19

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Solution

The third proportional to 31,104 and 44,349.19 is: 63,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 44,349.19 = 44,349.19 : x
  2. Step 2: Convert to fraction form
    31,104/44,349.19 = 44,349.19/x
  3. Step 3: Cross multiply
    31,104x = 44,349.19 × 44,349.19
  4. Step 4: Simplify right side
    31,104x = 1,966,850,431.91
  5. Step 5: Solve for x
    x = 1,966,850,431.91/31,104
  6. Step 6: Final answer
    x = 63,234.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.