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Finding the Third Proportional to 2,164.22 and 2,888.44

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Solution

The third proportional to 2,164.22 and 2,888.44 is: 3,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.22 : 2,888.44 = 2,888.44 : x
  2. Step 2: Convert to fraction form
    2,164.22/2,888.44 = 2,888.44/x
  3. Step 3: Cross multiply
    2,164.22x = 2,888.44 × 2,888.44
  4. Step 4: Simplify right side
    2,164.22x = 8,343,071.19
  5. Step 5: Solve for x
    x = 8,343,071.19/2,164.22
  6. Step 6: Final answer
    x = 3,855.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.