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Finding the Third Proportional to 8,967.27 and 19,639.34

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Solution

The third proportional to 8,967.27 and 19,639.34 is: 43,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.27 : 19,639.34 = 19,639.34 : x
  2. Step 2: Convert to fraction form
    8,967.27/19,639.34 = 19,639.34/x
  3. Step 3: Cross multiply
    8,967.27x = 19,639.34 × 19,639.34
  4. Step 4: Simplify right side
    8,967.27x = 385,703,516.07
  5. Step 5: Solve for x
    x = 385,703,516.07/8,967.27
  6. Step 6: Final answer
    x = 43,012.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.