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Finding the Third Proportional to 18,148 and 39,406

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Solution

The third proportional to 18,148 and 39,406 is: 85,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148 : 39,406 = 39,406 : x
  2. Step 2: Convert to fraction form
    18,148/39,406 = 39,406/x
  3. Step 3: Cross multiply
    18,148x = 39,406 × 39,406
  4. Step 4: Simplify right side
    18,148x = 1,552,832,836
  5. Step 5: Solve for x
    x = 1,552,832,836/18,148
  6. Step 6: Final answer
    x = 85,564.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.