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Finding the Third Proportional to 37,206 and 56,679

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Solution

The third proportional to 37,206 and 56,679 is: 86,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 56,679 = 56,679 : x
  2. Step 2: Convert to fraction form
    37,206/56,679 = 56,679/x
  3. Step 3: Cross multiply
    37,206x = 56,679 × 56,679
  4. Step 4: Simplify right side
    37,206x = 3,212,509,041
  5. Step 5: Solve for x
    x = 3,212,509,041/37,206
  6. Step 6: Final answer
    x = 86,343.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.