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Finding the Third Proportional to 7,426 and 18,567

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Solution

The third proportional to 7,426 and 18,567 is: 46,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426 : 18,567 = 18,567 : x
  2. Step 2: Convert to fraction form
    7,426/18,567 = 18,567/x
  3. Step 3: Cross multiply
    7,426x = 18,567 × 18,567
  4. Step 4: Simplify right side
    7,426x = 344,733,489
  5. Step 5: Solve for x
    x = 344,733,489/7,426
  6. Step 6: Final answer
    x = 46,422.50

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.