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Finding the Third Proportional to 18,112.50 and 42,313.50

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Solution

The third proportional to 18,112.50 and 42,313.50 is: 98,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,112.50 : 42,313.50 = 42,313.50 : x
  2. Step 2: Convert to fraction form
    18,112.50/42,313.50 = 42,313.50/x
  3. Step 3: Cross multiply
    18,112.50x = 42,313.50 × 42,313.50
  4. Step 4: Simplify right side
    18,112.50x = 1,790,432,282.25
  5. Step 5: Solve for x
    x = 1,790,432,282.25/18,112.50
  6. Step 6: Final answer
    x = 98,850.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.