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Finding the Third Proportional to 46,022 and 93,979

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Solution

The third proportional to 46,022 and 93,979 is: 191,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 93,979 = 93,979 : x
  2. Step 2: Convert to fraction form
    46,022/93,979 = 93,979/x
  3. Step 3: Cross multiply
    46,022x = 93,979 × 93,979
  4. Step 4: Simplify right side
    46,022x = 8,832,052,441
  5. Step 5: Solve for x
    x = 8,832,052,441/46,022
  6. Step 6: Final answer
    x = 191,909.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.