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Finding the Third Proportional to 849.94 and 1,972.41

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Solution

The third proportional to 849.94 and 1,972.41 is: 4,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.94 : 1,972.41 = 1,972.41 : x
  2. Step 2: Convert to fraction form
    849.94/1,972.41 = 1,972.41/x
  3. Step 3: Cross multiply
    849.94x = 1,972.41 × 1,972.41
  4. Step 4: Simplify right side
    849.94x = 3,890,386.42
  5. Step 5: Solve for x
    x = 3,890,386.42/849.94
  6. Step 6: Final answer
    x = 4,577.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.