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Finding the Third Proportional to 9,821 and 15,026

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Solution

The third proportional to 9,821 and 15,026 is: 22,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 15,026 = 15,026 : x
  2. Step 2: Convert to fraction form
    9,821/15,026 = 15,026/x
  3. Step 3: Cross multiply
    9,821x = 15,026 × 15,026
  4. Step 4: Simplify right side
    9,821x = 225,780,676
  5. Step 5: Solve for x
    x = 225,780,676/9,821
  6. Step 6: Final answer
    x = 22,989.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.