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Finding the Third Proportional to 21,635 and 46,942

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Solution

The third proportional to 21,635 and 46,942 is: 101,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635 : 46,942 = 46,942 : x
  2. Step 2: Convert to fraction form
    21,635/46,942 = 46,942/x
  3. Step 3: Cross multiply
    21,635x = 46,942 × 46,942
  4. Step 4: Simplify right side
    21,635x = 2,203,551,364
  5. Step 5: Solve for x
    x = 2,203,551,364/21,635
  6. Step 6: Final answer
    x = 101,851.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.