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Finding the Third Proportional to 8,734 and 19,088

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Solution

The third proportional to 8,734 and 19,088 is: 41,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734 : 19,088 = 19,088 : x
  2. Step 2: Convert to fraction form
    8,734/19,088 = 19,088/x
  3. Step 3: Cross multiply
    8,734x = 19,088 × 19,088
  4. Step 4: Simplify right side
    8,734x = 364,351,744
  5. Step 5: Solve for x
    x = 364,351,744/8,734
  6. Step 6: Final answer
    x = 41,716.48

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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.