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Finding the Third Proportional to 19,206 and 28,074

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Solution

The third proportional to 19,206 and 28,074 is: 41,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 28,074 = 28,074 : x
  2. Step 2: Convert to fraction form
    19,206/28,074 = 28,074/x
  3. Step 3: Cross multiply
    19,206x = 28,074 × 28,074
  4. Step 4: Simplify right side
    19,206x = 788,149,476
  5. Step 5: Solve for x
    x = 788,149,476/19,206
  6. Step 6: Final answer
    x = 41,036.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.