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Finding the Third Proportional to 35,268.50 and 47,845

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Solution

The third proportional to 35,268.50 and 47,845 is: 64,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,268.50 : 47,845 = 47,845 : x
  2. Step 2: Convert to fraction form
    35,268.50/47,845 = 47,845/x
  3. Step 3: Cross multiply
    35,268.50x = 47,845 × 47,845
  4. Step 4: Simplify right side
    35,268.50x = 2,289,144,025
  5. Step 5: Solve for x
    x = 2,289,144,025/35,268.50
  6. Step 6: Final answer
    x = 64,906.19

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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.