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Finding the Third Proportional to 1,029.80 and 2,290.36

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Solution

The third proportional to 1,029.80 and 2,290.36 is: 5,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.80 : 2,290.36 = 2,290.36 : x
  2. Step 2: Convert to fraction form
    1,029.80/2,290.36 = 2,290.36/x
  3. Step 3: Cross multiply
    1,029.80x = 2,290.36 × 2,290.36
  4. Step 4: Simplify right side
    1,029.80x = 5,245,746.07
  5. Step 5: Solve for x
    x = 5,245,746.07/1,029.80
  6. Step 6: Final answer
    x = 5,093.96

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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.