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Finding the Third Proportional to 37,187.50 and 52,014

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Solution

The third proportional to 37,187.50 and 52,014 is: 72,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,187.50 : 52,014 = 52,014 : x
  2. Step 2: Convert to fraction form
    37,187.50/52,014 = 52,014/x
  3. Step 3: Cross multiply
    37,187.50x = 52,014 × 52,014
  4. Step 4: Simplify right side
    37,187.50x = 2,705,456,196
  5. Step 5: Solve for x
    x = 2,705,456,196/37,187.50
  6. Step 6: Final answer
    x = 72,751.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.