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Finding the Third Proportional to 20,365 and 43,159

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Solution

The third proportional to 20,365 and 43,159 is: 91,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,365 : 43,159 = 43,159 : x
  2. Step 2: Convert to fraction form
    20,365/43,159 = 43,159/x
  3. Step 3: Cross multiply
    20,365x = 43,159 × 43,159
  4. Step 4: Simplify right side
    20,365x = 1,862,699,281
  5. Step 5: Solve for x
    x = 1,862,699,281/20,365
  6. Step 6: Final answer
    x = 91,465.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.