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Finding the Third Proportional to 1,084.31 and 2,411.25

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Solution

The third proportional to 1,084.31 and 2,411.25 is: 5,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.31 : 2,411.25 = 2,411.25 : x
  2. Step 2: Convert to fraction form
    1,084.31/2,411.25 = 2,411.25/x
  3. Step 3: Cross multiply
    1,084.31x = 2,411.25 × 2,411.25
  4. Step 4: Simplify right side
    1,084.31x = 5,814,126.56
  5. Step 5: Solve for x
    x = 5,814,126.56/1,084.31
  6. Step 6: Final answer
    x = 5,362.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.