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Finding the Third Proportional to 32,034.94 and 74,847.38

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Solution

The third proportional to 32,034.94 and 74,847.38 is: 174,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.94 : 74,847.38 = 74,847.38 : x
  2. Step 2: Convert to fraction form
    32,034.94/74,847.38 = 74,847.38/x
  3. Step 3: Cross multiply
    32,034.94x = 74,847.38 × 74,847.38
  4. Step 4: Simplify right side
    32,034.94x = 5,602,129,544.39
  5. Step 5: Solve for x
    x = 5,602,129,544.39/32,034.94
  6. Step 6: Final answer
    x = 174,875.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.