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Finding the Third Proportional to 49,648 and 73,492

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Solution

The third proportional to 49,648 and 73,492 is: 108,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648 : 73,492 = 73,492 : x
  2. Step 2: Convert to fraction form
    49,648/73,492 = 73,492/x
  3. Step 3: Cross multiply
    49,648x = 73,492 × 73,492
  4. Step 4: Simplify right side
    49,648x = 5,401,074,064
  5. Step 5: Solve for x
    x = 5,401,074,064/49,648
  6. Step 6: Final answer
    x = 108,787.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.