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Finding the Third Proportional to 7,698.38 and 16,584.19

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Solution

The third proportional to 7,698.38 and 16,584.19 is: 35,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.38 : 16,584.19 = 16,584.19 : x
  2. Step 2: Convert to fraction form
    7,698.38/16,584.19 = 16,584.19/x
  3. Step 3: Cross multiply
    7,698.38x = 16,584.19 × 16,584.19
  4. Step 4: Simplify right side
    7,698.38x = 275,035,275.04
  5. Step 5: Solve for x
    x = 275,035,275.04/7,698.38
  6. Step 6: Final answer
    x = 35,726.41

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