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Finding the Third Proportional to 35,969 and 78,378

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Solution

The third proportional to 35,969 and 78,378 is: 170,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 78,378 = 78,378 : x
  2. Step 2: Convert to fraction form
    35,969/78,378 = 78,378/x
  3. Step 3: Cross multiply
    35,969x = 78,378 × 78,378
  4. Step 4: Simplify right side
    35,969x = 6,143,110,884
  5. Step 5: Solve for x
    x = 6,143,110,884/35,969
  6. Step 6: Final answer
    x = 170,789.04

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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.