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Finding the Third Proportional to 20,017.13 and 43,709.63

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Solution

The third proportional to 20,017.13 and 43,709.63 is: 95,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.13 : 43,709.63 = 43,709.63 : x
  2. Step 2: Convert to fraction form
    20,017.13/43,709.63 = 43,709.63/x
  3. Step 3: Cross multiply
    20,017.13x = 43,709.63 × 43,709.63
  4. Step 4: Simplify right side
    20,017.13x = 1,910,531,317.64
  5. Step 5: Solve for x
    x = 1,910,531,317.64/20,017.13
  6. Step 6: Final answer
    x = 95,444.84

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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.