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Finding the Third Proportional to 23,695 and 46,721

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Solution

The third proportional to 23,695 and 46,721 is: 92,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695 : 46,721 = 46,721 : x
  2. Step 2: Convert to fraction form
    23,695/46,721 = 46,721/x
  3. Step 3: Cross multiply
    23,695x = 46,721 × 46,721
  4. Step 4: Simplify right side
    23,695x = 2,182,851,841
  5. Step 5: Solve for x
    x = 2,182,851,841/23,695
  6. Step 6: Final answer
    x = 92,122.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.