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Finding the Third Proportional to 20,148 and 47,406

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Solution

The third proportional to 20,148 and 47,406 is: 111,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148 : 47,406 = 47,406 : x
  2. Step 2: Convert to fraction form
    20,148/47,406 = 47,406/x
  3. Step 3: Cross multiply
    20,148x = 47,406 × 47,406
  4. Step 4: Simplify right side
    20,148x = 2,247,328,836
  5. Step 5: Solve for x
    x = 2,247,328,836/20,148
  6. Step 6: Final answer
    x = 111,541.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.