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Finding the Third Proportional to 35,998.13 and 50,671.13

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Solution

The third proportional to 35,998.13 and 50,671.13 is: 71,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.13 : 50,671.13 = 50,671.13 : x
  2. Step 2: Convert to fraction form
    35,998.13/50,671.13 = 50,671.13/x
  3. Step 3: Cross multiply
    35,998.13x = 50,671.13 × 50,671.13
  4. Step 4: Simplify right side
    35,998.13x = 2,567,562,908.77
  5. Step 5: Solve for x
    x = 2,567,562,908.77/35,998.13
  6. Step 6: Final answer
    x = 71,324.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.