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Finding the Third Proportional to 35,438 and 75,964

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Solution

The third proportional to 35,438 and 75,964 is: 162,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438 : 75,964 = 75,964 : x
  2. Step 2: Convert to fraction form
    35,438/75,964 = 75,964/x
  3. Step 3: Cross multiply
    35,438x = 75,964 × 75,964
  4. Step 4: Simplify right side
    35,438x = 5,770,529,296
  5. Step 5: Solve for x
    x = 5,770,529,296/35,438
  6. Step 6: Final answer
    x = 162,834.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.