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Finding the Third Proportional to 27,994 and 43,343

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Solution

The third proportional to 27,994 and 43,343 is: 67,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994 : 43,343 = 43,343 : x
  2. Step 2: Convert to fraction form
    27,994/43,343 = 43,343/x
  3. Step 3: Cross multiply
    27,994x = 43,343 × 43,343
  4. Step 4: Simplify right side
    27,994x = 1,878,615,649
  5. Step 5: Solve for x
    x = 1,878,615,649/27,994
  6. Step 6: Final answer
    x = 67,107.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.