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Finding the Third Proportional to 26,994 and 42,011

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Solution

The third proportional to 26,994 and 42,011 is: 65,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994 : 42,011 = 42,011 : x
  2. Step 2: Convert to fraction form
    26,994/42,011 = 42,011/x
  3. Step 3: Cross multiply
    26,994x = 42,011 × 42,011
  4. Step 4: Simplify right side
    26,994x = 1,764,924,121
  5. Step 5: Solve for x
    x = 1,764,924,121/26,994
  6. Step 6: Final answer
    x = 65,382.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.