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Finding the Third Proportional to 37,388 and 79,964

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Solution

The third proportional to 37,388 and 79,964 is: 171,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,388 : 79,964 = 79,964 : x
  2. Step 2: Convert to fraction form
    37,388/79,964 = 79,964/x
  3. Step 3: Cross multiply
    37,388x = 79,964 × 79,964
  4. Step 4: Simplify right side
    37,388x = 6,394,241,296
  5. Step 5: Solve for x
    x = 6,394,241,296/37,388
  6. Step 6: Final answer
    x = 171,023.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.