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Finding the Third Proportional to 37,243.50 and 87,840

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Solution

The third proportional to 37,243.50 and 87,840 is: 207,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.50 : 87,840 = 87,840 : x
  2. Step 2: Convert to fraction form
    37,243.50/87,840 = 87,840/x
  3. Step 3: Cross multiply
    37,243.50x = 87,840 × 87,840
  4. Step 4: Simplify right side
    37,243.50x = 7,715,865,600
  5. Step 5: Solve for x
    x = 7,715,865,600/37,243.50
  6. Step 6: Final answer
    x = 207,173.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.