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Finding the Third Proportional to 3,669.19 and 6,851.81

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Solution

The third proportional to 3,669.19 and 6,851.81 is: 12,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.19 : 6,851.81 = 6,851.81 : x
  2. Step 2: Convert to fraction form
    3,669.19/6,851.81 = 6,851.81/x
  3. Step 3: Cross multiply
    3,669.19x = 6,851.81 × 6,851.81
  4. Step 4: Simplify right side
    3,669.19x = 46,947,334.54
  5. Step 5: Solve for x
    x = 46,947,334.54/3,669.19
  6. Step 6: Final answer
    x = 12,795.02

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.