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Finding the Third Proportional to 35,041 and 75,914

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Solution

The third proportional to 35,041 and 75,914 is: 164,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,041 : 75,914 = 75,914 : x
  2. Step 2: Convert to fraction form
    35,041/75,914 = 75,914/x
  3. Step 3: Cross multiply
    35,041x = 75,914 × 75,914
  4. Step 4: Simplify right side
    35,041x = 5,762,935,396
  5. Step 5: Solve for x
    x = 5,762,935,396/35,041
  6. Step 6: Final answer
    x = 164,462.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.