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Finding the Third Proportional to 7,769.25 and 16,858.13

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Solution

The third proportional to 7,769.25 and 16,858.13 is: 36,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.25 : 16,858.13 = 16,858.13 : x
  2. Step 2: Convert to fraction form
    7,769.25/16,858.13 = 16,858.13/x
  3. Step 3: Cross multiply
    7,769.25x = 16,858.13 × 16,858.13
  4. Step 4: Simplify right side
    7,769.25x = 284,196,378.52
  5. Step 5: Solve for x
    x = 284,196,378.52/7,769.25
  6. Step 6: Final answer
    x = 36,579.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.