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Finding the Third Proportional to 4,054 and 8,926

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Solution

The third proportional to 4,054 and 8,926 is: 19,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054 : 8,926 = 8,926 : x
  2. Step 2: Convert to fraction form
    4,054/8,926 = 8,926/x
  3. Step 3: Cross multiply
    4,054x = 8,926 × 8,926
  4. Step 4: Simplify right side
    4,054x = 79,673,476
  5. Step 5: Solve for x
    x = 79,673,476/4,054
  6. Step 6: Final answer
    x = 19,653.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.