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Finding the Third Proportional to 19,796 and 30,646

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Solution

The third proportional to 19,796 and 30,646 is: 47,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796 : 30,646 = 30,646 : x
  2. Step 2: Convert to fraction form
    19,796/30,646 = 30,646/x
  3. Step 3: Cross multiply
    19,796x = 30,646 × 30,646
  4. Step 4: Simplify right side
    19,796x = 939,177,316
  5. Step 5: Solve for x
    x = 939,177,316/19,796
  6. Step 6: Final answer
    x = 47,442.78

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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.