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Finding the Third Proportional to 12,961 and 27,964

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Solution

The third proportional to 12,961 and 27,964 is: 60,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961 : 27,964 = 27,964 : x
  2. Step 2: Convert to fraction form
    12,961/27,964 = 27,964/x
  3. Step 3: Cross multiply
    12,961x = 27,964 × 27,964
  4. Step 4: Simplify right side
    12,961x = 781,985,296
  5. Step 5: Solve for x
    x = 781,985,296/12,961
  6. Step 6: Final answer
    x = 60,333.72

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