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Finding the Third Proportional to 37,729.50 and 48,391.50

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Solution

The third proportional to 37,729.50 and 48,391.50 is: 62,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.50 : 48,391.50 = 48,391.50 : x
  2. Step 2: Convert to fraction form
    37,729.50/48,391.50 = 48,391.50/x
  3. Step 3: Cross multiply
    37,729.50x = 48,391.50 × 48,391.50
  4. Step 4: Simplify right side
    37,729.50x = 2,341,737,272.25
  5. Step 5: Solve for x
    x = 2,341,737,272.25/37,729.50
  6. Step 6: Final answer
    x = 62,066.48

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.