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Finding the Third Proportional to 17,009.16 and 36,478.69

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Solution

The third proportional to 17,009.16 and 36,478.69 is: 78,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.16 : 36,478.69 = 36,478.69 : x
  2. Step 2: Convert to fraction form
    17,009.16/36,478.69 = 36,478.69/x
  3. Step 3: Cross multiply
    17,009.16x = 36,478.69 × 36,478.69
  4. Step 4: Simplify right side
    17,009.16x = 1,330,694,641.72
  5. Step 5: Solve for x
    x = 1,330,694,641.72/17,009.16
  6. Step 6: Final answer
    x = 78,234.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.