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Finding the Third Proportional to 7,697.25 and 16,581.80

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Solution

The third proportional to 7,697.25 and 16,581.80 is: 35,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.25 : 16,581.80 = 16,581.80 : x
  2. Step 2: Convert to fraction form
    7,697.25/16,581.80 = 16,581.80/x
  3. Step 3: Cross multiply
    7,697.25x = 16,581.80 × 16,581.80
  4. Step 4: Simplify right side
    7,697.25x = 274,955,987.60
  5. Step 5: Solve for x
    x = 274,955,987.60/7,697.25
  6. Step 6: Final answer
    x = 35,721.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.