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Finding the Third Proportional to 25,099 and 36,956

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Solution

The third proportional to 25,099 and 36,956 is: 54,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099 : 36,956 = 36,956 : x
  2. Step 2: Convert to fraction form
    25,099/36,956 = 36,956/x
  3. Step 3: Cross multiply
    25,099x = 36,956 × 36,956
  4. Step 4: Simplify right side
    25,099x = 1,365,745,936
  5. Step 5: Solve for x
    x = 1,365,745,936/25,099
  6. Step 6: Final answer
    x = 54,414.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.