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Finding the Third Proportional to 46,021.50 and 94,979

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Solution

The third proportional to 46,021.50 and 94,979 is: 196,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,021.50 : 94,979 = 94,979 : x
  2. Step 2: Convert to fraction form
    46,021.50/94,979 = 94,979/x
  3. Step 3: Cross multiply
    46,021.50x = 94,979 × 94,979
  4. Step 4: Simplify right side
    46,021.50x = 9,021,010,441
  5. Step 5: Solve for x
    x = 9,021,010,441/46,021.50
  6. Step 6: Final answer
    x = 196,017.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.