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Finding the Third Proportional to 26,004.80 and 39,126.80

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Solution

The third proportional to 26,004.80 and 39,126.80 is: 58,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004.80 : 39,126.80 = 39,126.80 : x
  2. Step 2: Convert to fraction form
    26,004.80/39,126.80 = 39,126.80/x
  3. Step 3: Cross multiply
    26,004.80x = 39,126.80 × 39,126.80
  4. Step 4: Simplify right side
    26,004.80x = 1,530,906,233.70
  5. Step 5: Solve for x
    x = 1,530,906,233.70/26,004.80
  6. Step 6: Final answer
    x = 58,870.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.