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Finding the Third Proportional to 33,453 and 45,871.50

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Solution

The third proportional to 33,453 and 45,871.50 is: 62,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453 : 45,871.50 = 45,871.50 : x
  2. Step 2: Convert to fraction form
    33,453/45,871.50 = 45,871.50/x
  3. Step 3: Cross multiply
    33,453x = 45,871.50 × 45,871.50
  4. Step 4: Simplify right side
    33,453x = 2,104,194,512.25
  5. Step 5: Solve for x
    x = 2,104,194,512.25/33,453
  6. Step 6: Final answer
    x = 62,900.02

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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.