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Finding the Third Proportional to 23,861.25 and 37,624.50

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Solution

The third proportional to 23,861.25 and 37,624.50 is: 59,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.25 : 37,624.50 = 37,624.50 : x
  2. Step 2: Convert to fraction form
    23,861.25/37,624.50 = 37,624.50/x
  3. Step 3: Cross multiply
    23,861.25x = 37,624.50 × 37,624.50
  4. Step 4: Simplify right side
    23,861.25x = 1,415,603,000.25
  5. Step 5: Solve for x
    x = 1,415,603,000.25/23,861.25
  6. Step 6: Final answer
    x = 59,326.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.