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Finding the Third Proportional to 7,972 and 12,678

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Solution

The third proportional to 7,972 and 12,678 is: 20,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 12,678 = 12,678 : x
  2. Step 2: Convert to fraction form
    7,972/12,678 = 12,678/x
  3. Step 3: Cross multiply
    7,972x = 12,678 × 12,678
  4. Step 4: Simplify right side
    7,972x = 160,731,684
  5. Step 5: Solve for x
    x = 160,731,684/7,972
  6. Step 6: Final answer
    x = 20,162.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.