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Finding the Third Proportional to 16,585.31 and 34,707.38

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Solution

The third proportional to 16,585.31 and 34,707.38 is: 72,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.31 : 34,707.38 = 34,707.38 : x
  2. Step 2: Convert to fraction form
    16,585.31/34,707.38 = 34,707.38/x
  3. Step 3: Cross multiply
    16,585.31x = 34,707.38 × 34,707.38
  4. Step 4: Simplify right side
    16,585.31x = 1,204,601,879.39
  5. Step 5: Solve for x
    x = 1,204,601,879.39/16,585.31
  6. Step 6: Final answer
    x = 72,630.64

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Why These Related Problems?

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