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Finding the Third Proportional to 5,190.75 and 9,005.77

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Solution

The third proportional to 5,190.75 and 9,005.77 is: 15,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 9,005.77 = 9,005.77 : x
  2. Step 2: Convert to fraction form
    5,190.75/9,005.77 = 9,005.77/x
  3. Step 3: Cross multiply
    5,190.75x = 9,005.77 × 9,005.77
  4. Step 4: Simplify right side
    5,190.75x = 81,103,814.49
  5. Step 5: Solve for x
    x = 81,103,814.49/5,190.75
  6. Step 6: Final answer
    x = 15,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.