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Finding the Third Proportional to 8,028 and 18,574

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Solution

The third proportional to 8,028 and 18,574 is: 42,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 18,574 = 18,574 : x
  2. Step 2: Convert to fraction form
    8,028/18,574 = 18,574/x
  3. Step 3: Cross multiply
    8,028x = 18,574 × 18,574
  4. Step 4: Simplify right side
    8,028x = 344,993,476
  5. Step 5: Solve for x
    x = 344,993,476/8,028
  6. Step 6: Final answer
    x = 42,973.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.