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Finding the Third Proportional to 32,755 and 76,994.50

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Solution

The third proportional to 32,755 and 76,994.50 is: 180,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755 : 76,994.50 = 76,994.50 : x
  2. Step 2: Convert to fraction form
    32,755/76,994.50 = 76,994.50/x
  3. Step 3: Cross multiply
    32,755x = 76,994.50 × 76,994.50
  4. Step 4: Simplify right side
    32,755x = 5,928,153,030.25
  5. Step 5: Solve for x
    x = 5,928,153,030.25/32,755
  6. Step 6: Final answer
    x = 180,984.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.