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Finding the Third Proportional to 19,503 and 45,992

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Solution

The third proportional to 19,503 and 45,992 is: 108,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503 : 45,992 = 45,992 : x
  2. Step 2: Convert to fraction form
    19,503/45,992 = 45,992/x
  3. Step 3: Cross multiply
    19,503x = 45,992 × 45,992
  4. Step 4: Simplify right side
    19,503x = 2,115,264,064
  5. Step 5: Solve for x
    x = 2,115,264,064/19,503
  6. Step 6: Final answer
    x = 108,458.39

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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.