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Finding the Third Proportional to 37,865.25 and 79,725

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Solution

The third proportional to 37,865.25 and 79,725 is: 167,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865.25 : 79,725 = 79,725 : x
  2. Step 2: Convert to fraction form
    37,865.25/79,725 = 79,725/x
  3. Step 3: Cross multiply
    37,865.25x = 79,725 × 79,725
  4. Step 4: Simplify right side
    37,865.25x = 6,356,075,625
  5. Step 5: Solve for x
    x = 6,356,075,625/37,865.25
  6. Step 6: Final answer
    x = 167,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.