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Finding the Third Proportional to 26,385.75 and 57,175.88

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Solution

The third proportional to 26,385.75 and 57,175.88 is: 123,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,385.75 : 57,175.88 = 57,175.88 : x
  2. Step 2: Convert to fraction form
    26,385.75/57,175.88 = 57,175.88/x
  3. Step 3: Cross multiply
    26,385.75x = 57,175.88 × 57,175.88
  4. Step 4: Simplify right side
    26,385.75x = 3,269,080,682.02
  5. Step 5: Solve for x
    x = 3,269,080,682.02/26,385.75
  6. Step 6: Final answer
    x = 123,895.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.