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Finding the Third Proportional to 7,946 and 12,600

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Solution

The third proportional to 7,946 and 12,600 is: 19,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 12,600 = 12,600 : x
  2. Step 2: Convert to fraction form
    7,946/12,600 = 12,600/x
  3. Step 3: Cross multiply
    7,946x = 12,600 × 12,600
  4. Step 4: Simplify right side
    7,946x = 158,760,000
  5. Step 5: Solve for x
    x = 158,760,000/7,946
  6. Step 6: Final answer
    x = 19,979.86

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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.