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Finding the Third Proportional to 40,245 and 58,816.50

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Solution

The third proportional to 40,245 and 58,816.50 is: 85,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,245 : 58,816.50 = 58,816.50 : x
  2. Step 2: Convert to fraction form
    40,245/58,816.50 = 58,816.50/x
  3. Step 3: Cross multiply
    40,245x = 58,816.50 × 58,816.50
  4. Step 4: Simplify right side
    40,245x = 3,459,380,672.25
  5. Step 5: Solve for x
    x = 3,459,380,672.25/40,245
  6. Step 6: Final answer
    x = 85,958.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.