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Finding the Third Proportional to 19,049 and 28,555

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Solution

The third proportional to 19,049 and 28,555 is: 42,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049 : 28,555 = 28,555 : x
  2. Step 2: Convert to fraction form
    19,049/28,555 = 28,555/x
  3. Step 3: Cross multiply
    19,049x = 28,555 × 28,555
  4. Step 4: Simplify right side
    19,049x = 815,388,025
  5. Step 5: Solve for x
    x = 815,388,025/19,049
  6. Step 6: Final answer
    x = 42,804.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.