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Finding the Third Proportional to 51,936 and 77,816.25

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Solution

The third proportional to 51,936 and 77,816.25 is: 116,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936 : 77,816.25 = 77,816.25 : x
  2. Step 2: Convert to fraction form
    51,936/77,816.25 = 77,816.25/x
  3. Step 3: Cross multiply
    51,936x = 77,816.25 × 77,816.25
  4. Step 4: Simplify right side
    51,936x = 6,055,368,764.06
  5. Step 5: Solve for x
    x = 6,055,368,764.06/51,936
  6. Step 6: Final answer
    x = 116,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.