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Finding the Third Proportional to 26,174.50 and 57,533

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Solution

The third proportional to 26,174.50 and 57,533 is: 126,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174.50 : 57,533 = 57,533 : x
  2. Step 2: Convert to fraction form
    26,174.50/57,533 = 57,533/x
  3. Step 3: Cross multiply
    26,174.50x = 57,533 × 57,533
  4. Step 4: Simplify right side
    26,174.50x = 3,310,046,089
  5. Step 5: Solve for x
    x = 3,310,046,089/26,174.50
  6. Step 6: Final answer
    x = 126,460.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.