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Finding the Third Proportional to 35,933.63 and 43,998.19

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Solution

The third proportional to 35,933.63 and 43,998.19 is: 53,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.63 : 43,998.19 = 43,998.19 : x
  2. Step 2: Convert to fraction form
    35,933.63/43,998.19 = 43,998.19/x
  3. Step 3: Cross multiply
    35,933.63x = 43,998.19 × 43,998.19
  4. Step 4: Simplify right side
    35,933.63x = 1,935,840,503.29
  5. Step 5: Solve for x
    x = 1,935,840,503.29/35,933.63
  6. Step 6: Final answer
    x = 53,872.68

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.