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Finding the Third Proportional to 35,268 and 47,899

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Solution

The third proportional to 35,268 and 47,899 is: 65,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,268 : 47,899 = 47,899 : x
  2. Step 2: Convert to fraction form
    35,268/47,899 = 47,899/x
  3. Step 3: Cross multiply
    35,268x = 47,899 × 47,899
  4. Step 4: Simplify right side
    35,268x = 2,294,314,201
  5. Step 5: Solve for x
    x = 2,294,314,201/35,268
  6. Step 6: Final answer
    x = 65,053.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.