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Finding the Third Proportional to 49,690 and 72,951

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Solution

The third proportional to 49,690 and 72,951 is: 107,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,690 : 72,951 = 72,951 : x
  2. Step 2: Convert to fraction form
    49,690/72,951 = 72,951/x
  3. Step 3: Cross multiply
    49,690x = 72,951 × 72,951
  4. Step 4: Simplify right side
    49,690x = 5,321,848,401
  5. Step 5: Solve for x
    x = 5,321,848,401/49,690
  6. Step 6: Final answer
    x = 107,100.99

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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.