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Finding the Third Proportional to 18,426 and 27,658

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Solution

The third proportional to 18,426 and 27,658 is: 41,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,426 : 27,658 = 27,658 : x
  2. Step 2: Convert to fraction form
    18,426/27,658 = 27,658/x
  3. Step 3: Cross multiply
    18,426x = 27,658 × 27,658
  4. Step 4: Simplify right side
    18,426x = 764,964,964
  5. Step 5: Solve for x
    x = 764,964,964/18,426
  6. Step 6: Final answer
    x = 41,515.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.