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Finding the Third Proportional to 2,838.38 and 6,014.81

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Solution

The third proportional to 2,838.38 and 6,014.81 is: 12,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.38 : 6,014.81 = 6,014.81 : x
  2. Step 2: Convert to fraction form
    2,838.38/6,014.81 = 6,014.81/x
  3. Step 3: Cross multiply
    2,838.38x = 6,014.81 × 6,014.81
  4. Step 4: Simplify right side
    2,838.38x = 36,177,969.41
  5. Step 5: Solve for x
    x = 36,177,969.41/2,838.38
  6. Step 6: Final answer
    x = 12,746.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.