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Finding the Third Proportional to 16,584.75 and 34,707.23

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Solution

The third proportional to 16,584.75 and 34,707.23 is: 72,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.75 : 34,707.23 = 34,707.23 : x
  2. Step 2: Convert to fraction form
    16,584.75/34,707.23 = 34,707.23/x
  3. Step 3: Cross multiply
    16,584.75x = 34,707.23 × 34,707.23
  4. Step 4: Simplify right side
    16,584.75x = 1,204,592,117.96
  5. Step 5: Solve for x
    x = 1,204,592,117.96/16,584.75
  6. Step 6: Final answer
    x = 72,632.52

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.