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Finding the Third Proportional to 44,463.50 and 67,824.50

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Solution

The third proportional to 44,463.50 and 67,824.50 is: 103,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,463.50 : 67,824.50 = 67,824.50 : x
  2. Step 2: Convert to fraction form
    44,463.50/67,824.50 = 67,824.50/x
  3. Step 3: Cross multiply
    44,463.50x = 67,824.50 × 67,824.50
  4. Step 4: Simplify right side
    44,463.50x = 4,600,162,800.25
  5. Step 5: Solve for x
    x = 4,600,162,800.25/44,463.50
  6. Step 6: Final answer
    x = 103,459.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.