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Finding the Third Proportional to 51,696 and 68,055.75

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Solution

The third proportional to 51,696 and 68,055.75 is: 89,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,696 : 68,055.75 = 68,055.75 : x
  2. Step 2: Convert to fraction form
    51,696/68,055.75 = 68,055.75/x
  3. Step 3: Cross multiply
    51,696x = 68,055.75 × 68,055.75
  4. Step 4: Simplify right side
    51,696x = 4,631,585,108.06
  5. Step 5: Solve for x
    x = 4,631,585,108.06/51,696
  6. Step 6: Final answer
    x = 89,592.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.