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Finding the Third Proportional to 1,846.83 and 3,953.11

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Solution

The third proportional to 1,846.83 and 3,953.11 is: 8,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.83 : 3,953.11 = 3,953.11 : x
  2. Step 2: Convert to fraction form
    1,846.83/3,953.11 = 3,953.11/x
  3. Step 3: Cross multiply
    1,846.83x = 3,953.11 × 3,953.11
  4. Step 4: Simplify right side
    1,846.83x = 15,627,073.73
  5. Step 5: Solve for x
    x = 15,627,073.73/1,846.83
  6. Step 6: Final answer
    x = 8,461.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.