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Finding the Third Proportional to 22,328 and 30,617

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Solution

The third proportional to 22,328 and 30,617 is: 41,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328 : 30,617 = 30,617 : x
  2. Step 2: Convert to fraction form
    22,328/30,617 = 30,617/x
  3. Step 3: Cross multiply
    22,328x = 30,617 × 30,617
  4. Step 4: Simplify right side
    22,328x = 937,400,689
  5. Step 5: Solve for x
    x = 937,400,689/22,328
  6. Step 6: Final answer
    x = 41,983.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.