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Finding the Third Proportional to 17,038.69 and 34,771.78

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Solution

The third proportional to 17,038.69 and 34,771.78 is: 70,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.69 : 34,771.78 = 34,771.78 : x
  2. Step 2: Convert to fraction form
    17,038.69/34,771.78 = 34,771.78/x
  3. Step 3: Cross multiply
    17,038.69x = 34,771.78 × 34,771.78
  4. Step 4: Simplify right side
    17,038.69x = 1,209,076,771.30
  5. Step 5: Solve for x
    x = 1,209,076,771.30/17,038.69
  6. Step 6: Final answer
    x = 70,960.68

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.