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Finding the Third Proportional to 7,806 and 12,106

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Solution

The third proportional to 7,806 and 12,106 is: 18,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 12,106 = 12,106 : x
  2. Step 2: Convert to fraction form
    7,806/12,106 = 12,106/x
  3. Step 3: Cross multiply
    7,806x = 12,106 × 12,106
  4. Step 4: Simplify right side
    7,806x = 146,555,236
  5. Step 5: Solve for x
    x = 146,555,236/7,806
  6. Step 6: Final answer
    x = 18,774.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.