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Finding the Third Proportional to 37,255.50 and 56,364.75

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Solution

The third proportional to 37,255.50 and 56,364.75 is: 85,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,255.50 : 56,364.75 = 56,364.75 : x
  2. Step 2: Convert to fraction form
    37,255.50/56,364.75 = 56,364.75/x
  3. Step 3: Cross multiply
    37,255.50x = 56,364.75 × 56,364.75
  4. Step 4: Simplify right side
    37,255.50x = 3,176,985,042.56
  5. Step 5: Solve for x
    x = 3,176,985,042.56/37,255.50
  6. Step 6: Final answer
    x = 85,275.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.