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Finding the Third Proportional to 8,837 and 19,028.50

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Solution

The third proportional to 8,837 and 19,028.50 is: 40,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837 : 19,028.50 = 19,028.50 : x
  2. Step 2: Convert to fraction form
    8,837/19,028.50 = 19,028.50/x
  3. Step 3: Cross multiply
    8,837x = 19,028.50 × 19,028.50
  4. Step 4: Simplify right side
    8,837x = 362,083,812.25
  5. Step 5: Solve for x
    x = 362,083,812.25/8,837
  6. Step 6: Final answer
    x = 40,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.