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Finding the Third Proportional to 21,950 and 46,816

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Solution

The third proportional to 21,950 and 46,816 is: 99,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 46,816 = 46,816 : x
  2. Step 2: Convert to fraction form
    21,950/46,816 = 46,816/x
  3. Step 3: Cross multiply
    21,950x = 46,816 × 46,816
  4. Step 4: Simplify right side
    21,950x = 2,191,737,856
  5. Step 5: Solve for x
    x = 2,191,737,856/21,950
  6. Step 6: Final answer
    x = 99,851.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.