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Finding the Third Proportional to 42,634.50 and 63,951.75

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Solution

The third proportional to 42,634.50 and 63,951.75 is: 95,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634.50 : 63,951.75 = 63,951.75 : x
  2. Step 2: Convert to fraction form
    42,634.50/63,951.75 = 63,951.75/x
  3. Step 3: Cross multiply
    42,634.50x = 63,951.75 × 63,951.75
  4. Step 4: Simplify right side
    42,634.50x = 4,089,826,328.06
  5. Step 5: Solve for x
    x = 4,089,826,328.06/42,634.50
  6. Step 6: Final answer
    x = 95,927.63

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