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Finding the Third Proportional to 9,633 and 14,073

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Solution

The third proportional to 9,633 and 14,073 is: 20,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 14,073 = 14,073 : x
  2. Step 2: Convert to fraction form
    9,633/14,073 = 14,073/x
  3. Step 3: Cross multiply
    9,633x = 14,073 × 14,073
  4. Step 4: Simplify right side
    9,633x = 198,049,329
  5. Step 5: Solve for x
    x = 198,049,329/9,633
  6. Step 6: Final answer
    x = 20,559.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.