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Finding the Third Proportional to 26,408 and 56,968

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Solution

The third proportional to 26,408 and 56,968 is: 122,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408 : 56,968 = 56,968 : x
  2. Step 2: Convert to fraction form
    26,408/56,968 = 56,968/x
  3. Step 3: Cross multiply
    26,408x = 56,968 × 56,968
  4. Step 4: Simplify right side
    26,408x = 3,245,353,024
  5. Step 5: Solve for x
    x = 3,245,353,024/26,408
  6. Step 6: Final answer
    x = 122,892.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.