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Finding the Third Proportional to 8,084.81 and 17,708.63

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Solution

The third proportional to 8,084.81 and 17,708.63 is: 38,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.81 : 17,708.63 = 17,708.63 : x
  2. Step 2: Convert to fraction form
    8,084.81/17,708.63 = 17,708.63/x
  3. Step 3: Cross multiply
    8,084.81x = 17,708.63 × 17,708.63
  4. Step 4: Simplify right side
    8,084.81x = 313,595,399.39
  5. Step 5: Solve for x
    x = 313,595,399.39/8,084.81
  6. Step 6: Final answer
    x = 38,788.21

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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.