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Finding the Third Proportional to 34,650.28 and 74,830.71

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Solution

The third proportional to 34,650.28 and 74,830.71 is: 161,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650.28 : 74,830.71 = 74,830.71 : x
  2. Step 2: Convert to fraction form
    34,650.28/74,830.71 = 74,830.71/x
  3. Step 3: Cross multiply
    34,650.28x = 74,830.71 × 74,830.71
  4. Step 4: Simplify right side
    34,650.28x = 5,599,635,299.41
  5. Step 5: Solve for x
    x = 5,599,635,299.41/34,650.28
  6. Step 6: Final answer
    x = 161,604.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.