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Finding the Third Proportional to 36,326.25 and 78,390

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Solution

The third proportional to 36,326.25 and 78,390 is: 169,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,326.25 : 78,390 = 78,390 : x
  2. Step 2: Convert to fraction form
    36,326.25/78,390 = 78,390/x
  3. Step 3: Cross multiply
    36,326.25x = 78,390 × 78,390
  4. Step 4: Simplify right side
    36,326.25x = 6,144,992,100
  5. Step 5: Solve for x
    x = 6,144,992,100/36,326.25
  6. Step 6: Final answer
    x = 169,161.20

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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.