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Finding the Third Proportional to 36,776.25 and 79,386.75

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Solution

The third proportional to 36,776.25 and 79,386.75 is: 171,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776.25 : 79,386.75 = 79,386.75 : x
  2. Step 2: Convert to fraction form
    36,776.25/79,386.75 = 79,386.75/x
  3. Step 3: Cross multiply
    36,776.25x = 79,386.75 × 79,386.75
  4. Step 4: Simplify right side
    36,776.25x = 6,302,256,075.56
  5. Step 5: Solve for x
    x = 6,302,256,075.56/36,776.25
  6. Step 6: Final answer
    x = 171,367.56

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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.