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Finding the Third Proportional to 18,592 and 25,221

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Solution

The third proportional to 18,592 and 25,221 is: 34,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592 : 25,221 = 25,221 : x
  2. Step 2: Convert to fraction form
    18,592/25,221 = 25,221/x
  3. Step 3: Cross multiply
    18,592x = 25,221 × 25,221
  4. Step 4: Simplify right side
    18,592x = 636,098,841
  5. Step 5: Solve for x
    x = 636,098,841/18,592
  6. Step 6: Final answer
    x = 34,213.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.