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Finding the Third Proportional to 25,926 and 28,626

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Solution

The third proportional to 25,926 and 28,626 is: 31,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926 : 28,626 = 28,626 : x
  2. Step 2: Convert to fraction form
    25,926/28,626 = 28,626/x
  3. Step 3: Cross multiply
    25,926x = 28,626 × 28,626
  4. Step 4: Simplify right side
    25,926x = 819,447,876
  5. Step 5: Solve for x
    x = 819,447,876/25,926
  6. Step 6: Final answer
    x = 31,607.18

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.