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Finding the Third Proportional to 33,452 and 45,871

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Solution

The third proportional to 33,452 and 45,871 is: 62,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452 : 45,871 = 45,871 : x
  2. Step 2: Convert to fraction form
    33,452/45,871 = 45,871/x
  3. Step 3: Cross multiply
    33,452x = 45,871 × 45,871
  4. Step 4: Simplify right side
    33,452x = 2,104,148,641
  5. Step 5: Solve for x
    x = 2,104,148,641/33,452
  6. Step 6: Final answer
    x = 62,900.53

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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.