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Finding the Third Proportional to 32,975.86 and 79,705.90

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Solution

The third proportional to 32,975.86 and 79,705.90 is: 192,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.86 : 79,705.90 = 79,705.90 : x
  2. Step 2: Convert to fraction form
    32,975.86/79,705.90 = 79,705.90/x
  3. Step 3: Cross multiply
    32,975.86x = 79,705.90 × 79,705.90
  4. Step 4: Simplify right side
    32,975.86x = 6,353,030,245.73
  5. Step 5: Solve for x
    x = 6,353,030,245.73/32,975.86
  6. Step 6: Final answer
    x = 192,657.00

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.