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Finding the Third Proportional to 20,225 and 47,237

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Solution

The third proportional to 20,225 and 47,237 is: 110,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225 : 47,237 = 47,237 : x
  2. Step 2: Convert to fraction form
    20,225/47,237 = 47,237/x
  3. Step 3: Cross multiply
    20,225x = 47,237 × 47,237
  4. Step 4: Simplify right side
    20,225x = 2,231,334,169
  5. Step 5: Solve for x
    x = 2,231,334,169/20,225
  6. Step 6: Final answer
    x = 110,325.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.