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Finding the Third Proportional to 19,456 and 40,296

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Solution

The third proportional to 19,456 and 40,296 is: 83,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 40,296 = 40,296 : x
  2. Step 2: Convert to fraction form
    19,456/40,296 = 40,296/x
  3. Step 3: Cross multiply
    19,456x = 40,296 × 40,296
  4. Step 4: Simplify right side
    19,456x = 1,623,767,616
  5. Step 5: Solve for x
    x = 1,623,767,616/19,456
  6. Step 6: Final answer
    x = 83,458.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.