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Finding the Third Proportional to 35,244 and 73,947.50

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Solution

The third proportional to 35,244 and 73,947.50 is: 155,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,244 : 73,947.50 = 73,947.50 : x
  2. Step 2: Convert to fraction form
    35,244/73,947.50 = 73,947.50/x
  3. Step 3: Cross multiply
    35,244x = 73,947.50 × 73,947.50
  4. Step 4: Simplify right side
    35,244x = 5,468,232,756.25
  5. Step 5: Solve for x
    x = 5,468,232,756.25/35,244
  6. Step 6: Final answer
    x = 155,153.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.