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Finding the Third Proportional to 26,811 and 41,748.75

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Solution

The third proportional to 26,811 and 41,748.75 is: 65,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811 : 41,748.75 = 41,748.75 : x
  2. Step 2: Convert to fraction form
    26,811/41,748.75 = 41,748.75/x
  3. Step 3: Cross multiply
    26,811x = 41,748.75 × 41,748.75
  4. Step 4: Simplify right side
    26,811x = 1,742,958,126.56
  5. Step 5: Solve for x
    x = 1,742,958,126.56/26,811
  6. Step 6: Final answer
    x = 65,009.07

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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.