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Finding the Third Proportional to 1,838.81 and 2,812.78

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Solution

The third proportional to 1,838.81 and 2,812.78 is: 4,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.81 : 2,812.78 = 2,812.78 : x
  2. Step 2: Convert to fraction form
    1,838.81/2,812.78 = 2,812.78/x
  3. Step 3: Cross multiply
    1,838.81x = 2,812.78 × 2,812.78
  4. Step 4: Simplify right side
    1,838.81x = 7,911,738.36
  5. Step 5: Solve for x
    x = 7,911,738.36/1,838.81
  6. Step 6: Final answer
    x = 4,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.