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Finding the Third Proportional to 1,411.17 and 2,974.22

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Solution

The third proportional to 1,411.17 and 2,974.22 is: 6,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.17 : 2,974.22 = 2,974.22 : x
  2. Step 2: Convert to fraction form
    1,411.17/2,974.22 = 2,974.22/x
  3. Step 3: Cross multiply
    1,411.17x = 2,974.22 × 2,974.22
  4. Step 4: Simplify right side
    1,411.17x = 8,845,977.17
  5. Step 5: Solve for x
    x = 8,845,977.17/1,411.17
  6. Step 6: Final answer
    x = 6,268.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.