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Finding the Third Proportional to 49,824 and 73,278

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Solution

The third proportional to 49,824 and 73,278 is: 107,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 73,278 = 73,278 : x
  2. Step 2: Convert to fraction form
    49,824/73,278 = 73,278/x
  3. Step 3: Cross multiply
    49,824x = 73,278 × 73,278
  4. Step 4: Simplify right side
    49,824x = 5,369,665,284
  5. Step 5: Solve for x
    x = 5,369,665,284/49,824
  6. Step 6: Final answer
    x = 107,772.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.