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Finding the Third Proportional to 40,558.50 and 89,010

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Solution

The third proportional to 40,558.50 and 89,010 is: 195,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,558.50 : 89,010 = 89,010 : x
  2. Step 2: Convert to fraction form
    40,558.50/89,010 = 89,010/x
  3. Step 3: Cross multiply
    40,558.50x = 89,010 × 89,010
  4. Step 4: Simplify right side
    40,558.50x = 7,922,780,100
  5. Step 5: Solve for x
    x = 7,922,780,100/40,558.50
  6. Step 6: Final answer
    x = 195,342.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.