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Finding the Third Proportional to 26,814.80 and 58,880.67

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Solution

The third proportional to 26,814.80 and 58,880.67 is: 129,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814.80 : 58,880.67 = 58,880.67 : x
  2. Step 2: Convert to fraction form
    26,814.80/58,880.67 = 58,880.67/x
  3. Step 3: Cross multiply
    26,814.80x = 58,880.67 × 58,880.67
  4. Step 4: Simplify right side
    26,814.80x = 3,466,933,520.45
  5. Step 5: Solve for x
    x = 3,466,933,520.45/26,814.80
  6. Step 6: Final answer
    x = 129,291.81

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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.