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Finding the Third Proportional to 1,836.74 and 4,322.74

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Solution

The third proportional to 1,836.74 and 4,322.74 is: 10,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.74 : 4,322.74 = 4,322.74 : x
  2. Step 2: Convert to fraction form
    1,836.74/4,322.74 = 4,322.74/x
  3. Step 3: Cross multiply
    1,836.74x = 4,322.74 × 4,322.74
  4. Step 4: Simplify right side
    1,836.74x = 18,686,100.02
  5. Step 5: Solve for x
    x = 18,686,100.02/1,836.74
  6. Step 6: Final answer
    x = 10,173.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.