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Finding the Third Proportional to 5,037.75 and 10,986.19

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Solution

The third proportional to 5,037.75 and 10,986.19 is: 23,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.75 : 10,986.19 = 10,986.19 : x
  2. Step 2: Convert to fraction form
    5,037.75/10,986.19 = 10,986.19/x
  3. Step 3: Cross multiply
    5,037.75x = 10,986.19 × 10,986.19
  4. Step 4: Simplify right side
    5,037.75x = 120,696,315.79
  5. Step 5: Solve for x
    x = 120,696,315.79/5,037.75
  6. Step 6: Final answer
    x = 23,958.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.