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Finding the Third Proportional to 1,409.25 and 2,642.25

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Solution

The third proportional to 1,409.25 and 2,642.25 is: 4,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.25 : 2,642.25 = 2,642.25 : x
  2. Step 2: Convert to fraction form
    1,409.25/2,642.25 = 2,642.25/x
  3. Step 3: Cross multiply
    1,409.25x = 2,642.25 × 2,642.25
  4. Step 4: Simplify right side
    1,409.25x = 6,981,485.06
  5. Step 5: Solve for x
    x = 6,981,485.06/1,409.25
  6. Step 6: Final answer
    x = 4,954.04

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.