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Finding the Third Proportional to 849.33 and 1,880.91

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Solution

The third proportional to 849.33 and 1,880.91 is: 4,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.33 : 1,880.91 = 1,880.91 : x
  2. Step 2: Convert to fraction form
    849.33/1,880.91 = 1,880.91/x
  3. Step 3: Cross multiply
    849.33x = 1,880.91 × 1,880.91
  4. Step 4: Simplify right side
    849.33x = 3,537,808.32
  5. Step 5: Solve for x
    x = 3,537,808.32/849.33
  6. Step 6: Final answer
    x = 4,165.42

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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.