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Finding the Third Proportional to 8,664.75 and 18,696.38

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Solution

The third proportional to 8,664.75 and 18,696.38 is: 40,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.75 : 18,696.38 = 18,696.38 : x
  2. Step 2: Convert to fraction form
    8,664.75/18,696.38 = 18,696.38/x
  3. Step 3: Cross multiply
    8,664.75x = 18,696.38 × 18,696.38
  4. Step 4: Simplify right side
    8,664.75x = 349,554,438.14
  5. Step 5: Solve for x
    x = 349,554,438.14/8,664.75
  6. Step 6: Final answer
    x = 40,342.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.