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Finding the Third Proportional to 18,148 and 27,202

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Solution

The third proportional to 18,148 and 27,202 is: 40,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148 : 27,202 = 27,202 : x
  2. Step 2: Convert to fraction form
    18,148/27,202 = 27,202/x
  3. Step 3: Cross multiply
    18,148x = 27,202 × 27,202
  4. Step 4: Simplify right side
    18,148x = 739,948,804
  5. Step 5: Solve for x
    x = 739,948,804/18,148
  6. Step 6: Final answer
    x = 40,773.02

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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.