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Finding the Third Proportional to 9,859 and 21,633

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Solution

The third proportional to 9,859 and 21,633 is: 47,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859 : 21,633 = 21,633 : x
  2. Step 2: Convert to fraction form
    9,859/21,633 = 21,633/x
  3. Step 3: Cross multiply
    9,859x = 21,633 × 21,633
  4. Step 4: Simplify right side
    9,859x = 467,986,689
  5. Step 5: Solve for x
    x = 467,986,689/9,859
  6. Step 6: Final answer
    x = 47,467.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.