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Finding the Third Proportional to 9,806 and 15,071

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Solution

The third proportional to 9,806 and 15,071 is: 23,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 15,071 = 15,071 : x
  2. Step 2: Convert to fraction form
    9,806/15,071 = 15,071/x
  3. Step 3: Cross multiply
    9,806x = 15,071 × 15,071
  4. Step 4: Simplify right side
    9,806x = 227,135,041
  5. Step 5: Solve for x
    x = 227,135,041/9,806
  6. Step 6: Final answer
    x = 23,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.