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Finding the Third Proportional to 26,203.50 and 42,525

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Solution

The third proportional to 26,203.50 and 42,525 is: 69,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,203.50 : 42,525 = 42,525 : x
  2. Step 2: Convert to fraction form
    26,203.50/42,525 = 42,525/x
  3. Step 3: Cross multiply
    26,203.50x = 42,525 × 42,525
  4. Step 4: Simplify right side
    26,203.50x = 1,808,375,625
  5. Step 5: Solve for x
    x = 1,808,375,625/26,203.50
  6. Step 6: Final answer
    x = 69,012.75

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.