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Finding the Third Proportional to 1,801.69 and 3,918.94

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Solution

The third proportional to 1,801.69 and 3,918.94 is: 8,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.69 : 3,918.94 = 3,918.94 : x
  2. Step 2: Convert to fraction form
    1,801.69/3,918.94 = 3,918.94/x
  3. Step 3: Cross multiply
    1,801.69x = 3,918.94 × 3,918.94
  4. Step 4: Simplify right side
    1,801.69x = 15,358,071.13
  5. Step 5: Solve for x
    x = 15,358,071.13/1,801.69
  6. Step 6: Final answer
    x = 8,524.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.