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Finding the Third Proportional to 34,009.88 and 74,244.94

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Solution

The third proportional to 34,009.88 and 74,244.94 is: 162,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.88 : 74,244.94 = 74,244.94 : x
  2. Step 2: Convert to fraction form
    34,009.88/74,244.94 = 74,244.94/x
  3. Step 3: Cross multiply
    34,009.88x = 74,244.94 × 74,244.94
  4. Step 4: Simplify right side
    34,009.88x = 5,512,310,744.38
  5. Step 5: Solve for x
    x = 5,512,310,744.38/34,009.88
  6. Step 6: Final answer
    x = 162,079.71

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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.