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Finding the Third Proportional to 33,132 and 42,994.50

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Solution

The third proportional to 33,132 and 42,994.50 is: 55,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132 : 42,994.50 = 42,994.50 : x
  2. Step 2: Convert to fraction form
    33,132/42,994.50 = 42,994.50/x
  3. Step 3: Cross multiply
    33,132x = 42,994.50 × 42,994.50
  4. Step 4: Simplify right side
    33,132x = 1,848,527,030.25
  5. Step 5: Solve for x
    x = 1,848,527,030.25/33,132
  6. Step 6: Final answer
    x = 55,792.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.