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Finding the Third Proportional to 19,838 and 28,203

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Solution

The third proportional to 19,838 and 28,203 is: 40,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 28,203 = 28,203 : x
  2. Step 2: Convert to fraction form
    19,838/28,203 = 28,203/x
  3. Step 3: Cross multiply
    19,838x = 28,203 × 28,203
  4. Step 4: Simplify right side
    19,838x = 795,409,209
  5. Step 5: Solve for x
    x = 795,409,209/19,838
  6. Step 6: Final answer
    x = 40,095.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.