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Finding the Third Proportional to 34,021.69 and 53,169.75

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Solution

The third proportional to 34,021.69 and 53,169.75 is: 83,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.69 : 53,169.75 = 53,169.75 : x
  2. Step 2: Convert to fraction form
    34,021.69/53,169.75 = 53,169.75/x
  3. Step 3: Cross multiply
    34,021.69x = 53,169.75 × 53,169.75
  4. Step 4: Simplify right side
    34,021.69x = 2,827,022,315.06
  5. Step 5: Solve for x
    x = 2,827,022,315.06/34,021.69
  6. Step 6: Final answer
    x = 83,094.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.