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Finding the Third Proportional to 37,728.50 and 51,056.50

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Solution

The third proportional to 37,728.50 and 51,056.50 is: 69,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.50 : 51,056.50 = 51,056.50 : x
  2. Step 2: Convert to fraction form
    37,728.50/51,056.50 = 51,056.50/x
  3. Step 3: Cross multiply
    37,728.50x = 51,056.50 × 51,056.50
  4. Step 4: Simplify right side
    37,728.50x = 2,606,766,192.25
  5. Step 5: Solve for x
    x = 2,606,766,192.25/37,728.50
  6. Step 6: Final answer
    x = 69,092.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.