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Finding the Third Proportional to 860.44 and 1,899.94

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Solution

The third proportional to 860.44 and 1,899.94 is: 4,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.44 : 1,899.94 = 1,899.94 : x
  2. Step 2: Convert to fraction form
    860.44/1,899.94 = 1,899.94/x
  3. Step 3: Cross multiply
    860.44x = 1,899.94 × 1,899.94
  4. Step 4: Simplify right side
    860.44x = 3,609,762.50
  5. Step 5: Solve for x
    x = 3,609,762.50/860.44
  6. Step 6: Final answer
    x = 4,195.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.