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Finding the Third Proportional to 2,068.22 and 3,927.19

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Solution

The third proportional to 2,068.22 and 3,927.19 is: 7,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.22 : 3,927.19 = 3,927.19 : x
  2. Step 2: Convert to fraction form
    2,068.22/3,927.19 = 3,927.19/x
  3. Step 3: Cross multiply
    2,068.22x = 3,927.19 × 3,927.19
  4. Step 4: Simplify right side
    2,068.22x = 15,422,801.66
  5. Step 5: Solve for x
    x = 15,422,801.66/2,068.22
  6. Step 6: Final answer
    x = 7,457.05

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.