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Finding the Third Proportional to 19,672 and 40,368

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Solution

The third proportional to 19,672 and 40,368 is: 82,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 40,368 = 40,368 : x
  2. Step 2: Convert to fraction form
    19,672/40,368 = 40,368/x
  3. Step 3: Cross multiply
    19,672x = 40,368 × 40,368
  4. Step 4: Simplify right side
    19,672x = 1,629,575,424
  5. Step 5: Solve for x
    x = 1,629,575,424/19,672
  6. Step 6: Final answer
    x = 82,837.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.