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Finding the Third Proportional to 36,844.88 and 78,509.25

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Solution

The third proportional to 36,844.88 and 78,509.25 is: 167,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844.88 : 78,509.25 = 78,509.25 : x
  2. Step 2: Convert to fraction form
    36,844.88/78,509.25 = 78,509.25/x
  3. Step 3: Cross multiply
    36,844.88x = 78,509.25 × 78,509.25
  4. Step 4: Simplify right side
    36,844.88x = 6,163,702,335.56
  5. Step 5: Solve for x
    x = 6,163,702,335.56/36,844.88
  6. Step 6: Final answer
    x = 167,287.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.