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Finding the Third Proportional to 22,440 and 47,247

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Solution

The third proportional to 22,440 and 47,247 is: 99,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,440 : 47,247 = 47,247 : x
  2. Step 2: Convert to fraction form
    22,440/47,247 = 47,247/x
  3. Step 3: Cross multiply
    22,440x = 47,247 × 47,247
  4. Step 4: Simplify right side
    22,440x = 2,232,279,009
  5. Step 5: Solve for x
    x = 2,232,279,009/22,440
  6. Step 6: Final answer
    x = 99,477.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.