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Finding the Third Proportional to 37,922 and 81,658

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Solution

The third proportional to 37,922 and 81,658 is: 175,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,922 : 81,658 = 81,658 : x
  2. Step 2: Convert to fraction form
    37,922/81,658 = 81,658/x
  3. Step 3: Cross multiply
    37,922x = 81,658 × 81,658
  4. Step 4: Simplify right side
    37,922x = 6,668,028,964
  5. Step 5: Solve for x
    x = 6,668,028,964/37,922
  6. Step 6: Final answer
    x = 175,835.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.