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Finding the Third Proportional to 1,817.25 and 4,045.75

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Solution

The third proportional to 1,817.25 and 4,045.75 is: 9,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.25 : 4,045.75 = 4,045.75 : x
  2. Step 2: Convert to fraction form
    1,817.25/4,045.75 = 4,045.75/x
  3. Step 3: Cross multiply
    1,817.25x = 4,045.75 × 4,045.75
  4. Step 4: Simplify right side
    1,817.25x = 16,368,093.06
  5. Step 5: Solve for x
    x = 16,368,093.06/1,817.25
  6. Step 6: Final answer
    x = 9,007.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.