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Finding the Third Proportional to 36,773 and 79,376.50

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Solution

The third proportional to 36,773 and 79,376.50 is: 171,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,773 : 79,376.50 = 79,376.50 : x
  2. Step 2: Convert to fraction form
    36,773/79,376.50 = 79,376.50/x
  3. Step 3: Cross multiply
    36,773x = 79,376.50 × 79,376.50
  4. Step 4: Simplify right side
    36,773x = 6,300,628,752.25
  5. Step 5: Solve for x
    x = 6,300,628,752.25/36,773
  6. Step 6: Final answer
    x = 171,338.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.