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Finding the Third Proportional to 53,581.50 and 73,426.50

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Solution

The third proportional to 53,581.50 and 73,426.50 is: 100,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,581.50 : 73,426.50 = 73,426.50 : x
  2. Step 2: Convert to fraction form
    53,581.50/73,426.50 = 73,426.50/x
  3. Step 3: Cross multiply
    53,581.50x = 73,426.50 × 73,426.50
  4. Step 4: Simplify right side
    53,581.50x = 5,391,450,902.25
  5. Step 5: Solve for x
    x = 5,391,450,902.25/53,581.50
  6. Step 6: Final answer
    x = 100,621.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.