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Finding the Third Proportional to 35,175.38 and 71,783.44

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Solution

The third proportional to 35,175.38 and 71,783.44 is: 146,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,175.38 : 71,783.44 = 71,783.44 : x
  2. Step 2: Convert to fraction form
    35,175.38/71,783.44 = 71,783.44/x
  3. Step 3: Cross multiply
    35,175.38x = 71,783.44 × 71,783.44
  4. Step 4: Simplify right side
    35,175.38x = 5,152,861,899.32
  5. Step 5: Solve for x
    x = 5,152,861,899.32/35,175.38
  6. Step 6: Final answer
    x = 146,490.60

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Why These Related Problems?

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