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Finding the Third Proportional to 49,827 and 74,603.25

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Solution

The third proportional to 49,827 and 74,603.25 is: 111,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827 : 74,603.25 = 74,603.25 : x
  2. Step 2: Convert to fraction form
    49,827/74,603.25 = 74,603.25/x
  3. Step 3: Cross multiply
    49,827x = 74,603.25 × 74,603.25
  4. Step 4: Simplify right side
    49,827x = 5,565,644,910.56
  5. Step 5: Solve for x
    x = 5,565,644,910.56/49,827
  6. Step 6: Final answer
    x = 111,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.