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Finding the Third Proportional to 1,389.19 and 2,834.25

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Solution

The third proportional to 1,389.19 and 2,834.25 is: 5,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.19 : 2,834.25 = 2,834.25 : x
  2. Step 2: Convert to fraction form
    1,389.19/2,834.25 = 2,834.25/x
  3. Step 3: Cross multiply
    1,389.19x = 2,834.25 × 2,834.25
  4. Step 4: Simplify right side
    1,389.19x = 8,032,973.06
  5. Step 5: Solve for x
    x = 8,032,973.06/1,389.19
  6. Step 6: Final answer
    x = 5,782.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.