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Finding the Third Proportional to 34,274.39 and 74,563.03

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Solution

The third proportional to 34,274.39 and 74,563.03 is: 162,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274.39 : 74,563.03 = 74,563.03 : x
  2. Step 2: Convert to fraction form
    34,274.39/74,563.03 = 74,563.03/x
  3. Step 3: Cross multiply
    34,274.39x = 74,563.03 × 74,563.03
  4. Step 4: Simplify right side
    34,274.39x = 5,559,645,629.19
  5. Step 5: Solve for x
    x = 5,559,645,629.19/34,274.39
  6. Step 6: Final answer
    x = 162,209.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.