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Finding the Third Proportional to 19,296 and 45,372

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Solution

The third proportional to 19,296 and 45,372 is: 106,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 45,372 = 45,372 : x
  2. Step 2: Convert to fraction form
    19,296/45,372 = 45,372/x
  3. Step 3: Cross multiply
    19,296x = 45,372 × 45,372
  4. Step 4: Simplify right side
    19,296x = 2,058,618,384
  5. Step 5: Solve for x
    x = 2,058,618,384/19,296
  6. Step 6: Final answer
    x = 106,686.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.