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Finding the Third Proportional to 5,135.91 and 7,709.77

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Solution

The third proportional to 5,135.91 and 7,709.77 is: 11,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.91 : 7,709.77 = 7,709.77 : x
  2. Step 2: Convert to fraction form
    5,135.91/7,709.77 = 7,709.77/x
  3. Step 3: Cross multiply
    5,135.91x = 7,709.77 × 7,709.77
  4. Step 4: Simplify right side
    5,135.91x = 59,440,485.99
  5. Step 5: Solve for x
    x = 59,440,485.99/5,135.91
  6. Step 6: Final answer
    x = 11,573.51

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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.