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Finding the Third Proportional to 9,582 and 20,622

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Solution

The third proportional to 9,582 and 20,622 is: 44,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 20,622 = 20,622 : x
  2. Step 2: Convert to fraction form
    9,582/20,622 = 20,622/x
  3. Step 3: Cross multiply
    9,582x = 20,622 × 20,622
  4. Step 4: Simplify right side
    9,582x = 425,266,884
  5. Step 5: Solve for x
    x = 425,266,884/9,582
  6. Step 6: Final answer
    x = 44,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.