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Finding the Third Proportional to 2,091.19 and 4,319.06

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Solution

The third proportional to 2,091.19 and 4,319.06 is: 8,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.19 : 4,319.06 = 4,319.06 : x
  2. Step 2: Convert to fraction form
    2,091.19/4,319.06 = 4,319.06/x
  3. Step 3: Cross multiply
    2,091.19x = 4,319.06 × 4,319.06
  4. Step 4: Simplify right side
    2,091.19x = 18,654,300.88
  5. Step 5: Solve for x
    x = 18,654,300.88/2,091.19
  6. Step 6: Final answer
    x = 8,920.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.