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Finding the Third Proportional to 15,769.69 and 36,849.94

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Solution

The third proportional to 15,769.69 and 36,849.94 is: 86,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.69 : 36,849.94 = 36,849.94 : x
  2. Step 2: Convert to fraction form
    15,769.69/36,849.94 = 36,849.94/x
  3. Step 3: Cross multiply
    15,769.69x = 36,849.94 × 36,849.94
  4. Step 4: Simplify right side
    15,769.69x = 1,357,917,893.75
  5. Step 5: Solve for x
    x = 1,357,917,893.75/15,769.69
  6. Step 6: Final answer
    x = 86,109.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.