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Finding the Third Proportional to 37,245.75 and 47,821.50

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Solution

The third proportional to 37,245.75 and 47,821.50 is: 61,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245.75 : 47,821.50 = 47,821.50 : x
  2. Step 2: Convert to fraction form
    37,245.75/47,821.50 = 47,821.50/x
  3. Step 3: Cross multiply
    37,245.75x = 47,821.50 × 47,821.50
  4. Step 4: Simplify right side
    37,245.75x = 2,286,895,862.25
  5. Step 5: Solve for x
    x = 2,286,895,862.25/37,245.75
  6. Step 6: Final answer
    x = 61,400.18

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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.