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Finding the Third Proportional to 35,811 and 78,041

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Solution

The third proportional to 35,811 and 78,041 is: 170,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811 : 78,041 = 78,041 : x
  2. Step 2: Convert to fraction form
    35,811/78,041 = 78,041/x
  3. Step 3: Cross multiply
    35,811x = 78,041 × 78,041
  4. Step 4: Simplify right side
    35,811x = 6,090,397,681
  5. Step 5: Solve for x
    x = 6,090,397,681/35,811
  6. Step 6: Final answer
    x = 170,070.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.