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Finding the Third Proportional to 40,378 and 61,296

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Solution

The third proportional to 40,378 and 61,296 is: 93,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 61,296 = 61,296 : x
  2. Step 2: Convert to fraction form
    40,378/61,296 = 61,296/x
  3. Step 3: Cross multiply
    40,378x = 61,296 × 61,296
  4. Step 4: Simplify right side
    40,378x = 3,757,199,616
  5. Step 5: Solve for x
    x = 3,757,199,616/40,378
  6. Step 6: Final answer
    x = 93,050.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.