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Finding the Third Proportional to 46,994 and 66,818

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Solution

The third proportional to 46,994 and 66,818 is: 95,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,994 : 66,818 = 66,818 : x
  2. Step 2: Convert to fraction form
    46,994/66,818 = 66,818/x
  3. Step 3: Cross multiply
    46,994x = 66,818 × 66,818
  4. Step 4: Simplify right side
    46,994x = 4,464,645,124
  5. Step 5: Solve for x
    x = 4,464,645,124/46,994
  6. Step 6: Final answer
    x = 95,004.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.