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Finding the Third Proportional to 7,900 and 12,962

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Solution

The third proportional to 7,900 and 12,962 is: 21,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900 : 12,962 = 12,962 : x
  2. Step 2: Convert to fraction form
    7,900/12,962 = 12,962/x
  3. Step 3: Cross multiply
    7,900x = 12,962 × 12,962
  4. Step 4: Simplify right side
    7,900x = 168,013,444
  5. Step 5: Solve for x
    x = 168,013,444/7,900
  6. Step 6: Final answer
    x = 21,267.52

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.