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Finding the Third Proportional to 18,098 and 26,141

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Solution

The third proportional to 18,098 and 26,141 is: 37,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098 : 26,141 = 26,141 : x
  2. Step 2: Convert to fraction form
    18,098/26,141 = 26,141/x
  3. Step 3: Cross multiply
    18,098x = 26,141 × 26,141
  4. Step 4: Simplify right side
    18,098x = 683,351,881
  5. Step 5: Solve for x
    x = 683,351,881/18,098
  6. Step 6: Final answer
    x = 37,758.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.