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Finding the Third Proportional to 19,541 and 30,239

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Solution

The third proportional to 19,541 and 30,239 is: 46,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541 : 30,239 = 30,239 : x
  2. Step 2: Convert to fraction form
    19,541/30,239 = 30,239/x
  3. Step 3: Cross multiply
    19,541x = 30,239 × 30,239
  4. Step 4: Simplify right side
    19,541x = 914,397,121
  5. Step 5: Solve for x
    x = 914,397,121/19,541
  6. Step 6: Final answer
    x = 46,793.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.