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Finding the Third Proportional to 1,846.13 and 3,818.81

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Solution

The third proportional to 1,846.13 and 3,818.81 is: 7,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.13 : 3,818.81 = 3,818.81 : x
  2. Step 2: Convert to fraction form
    1,846.13/3,818.81 = 3,818.81/x
  3. Step 3: Cross multiply
    1,846.13x = 3,818.81 × 3,818.81
  4. Step 4: Simplify right side
    1,846.13x = 14,583,328.91
  5. Step 5: Solve for x
    x = 14,583,328.91/1,846.13
  6. Step 6: Final answer
    x = 7,899.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.