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Finding the Third Proportional to 19,841 and 46,757

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Solution

The third proportional to 19,841 and 46,757 is: 110,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841 : 46,757 = 46,757 : x
  2. Step 2: Convert to fraction form
    19,841/46,757 = 46,757/x
  3. Step 3: Cross multiply
    19,841x = 46,757 × 46,757
  4. Step 4: Simplify right side
    19,841x = 2,186,217,049
  5. Step 5: Solve for x
    x = 2,186,217,049/19,841
  6. Step 6: Final answer
    x = 110,186.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.