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Finding the Third Proportional to 36,844.88 and 79,643.25

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Solution

The third proportional to 36,844.88 and 79,643.25 is: 172,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844.88 : 79,643.25 = 79,643.25 : x
  2. Step 2: Convert to fraction form
    36,844.88/79,643.25 = 79,643.25/x
  3. Step 3: Cross multiply
    36,844.88x = 79,643.25 × 79,643.25
  4. Step 4: Simplify right side
    36,844.88x = 6,343,047,270.56
  5. Step 5: Solve for x
    x = 6,343,047,270.56/36,844.88
  6. Step 6: Final answer
    x = 172,155.48

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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.