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Finding the Third Proportional to 18,712 and 37,964

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Solution

The third proportional to 18,712 and 37,964 is: 77,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 37,964 = 37,964 : x
  2. Step 2: Convert to fraction form
    18,712/37,964 = 37,964/x
  3. Step 3: Cross multiply
    18,712x = 37,964 × 37,964
  4. Step 4: Simplify right side
    18,712x = 1,441,265,296
  5. Step 5: Solve for x
    x = 1,441,265,296/18,712
  6. Step 6: Final answer
    x = 77,023.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.