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Finding the Third Proportional to 19,902 and 28,294

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Solution

The third proportional to 19,902 and 28,294 is: 40,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 28,294 = 28,294 : x
  2. Step 2: Convert to fraction form
    19,902/28,294 = 28,294/x
  3. Step 3: Cross multiply
    19,902x = 28,294 × 28,294
  4. Step 4: Simplify right side
    19,902x = 800,550,436
  5. Step 5: Solve for x
    x = 800,550,436/19,902
  6. Step 6: Final answer
    x = 40,224.62

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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.