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Finding the Third Proportional to 1,827 and 4,633.50

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Solution

The third proportional to 1,827 and 4,633.50 is: 11,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827 : 4,633.50 = 4,633.50 : x
  2. Step 2: Convert to fraction form
    1,827/4,633.50 = 4,633.50/x
  3. Step 3: Cross multiply
    1,827x = 4,633.50 × 4,633.50
  4. Step 4: Simplify right side
    1,827x = 21,469,322.25
  5. Step 5: Solve for x
    x = 21,469,322.25/1,827
  6. Step 6: Final answer
    x = 11,751.13

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.