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Finding the Third Proportional to 51,460.50 and 68,307

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Solution

The third proportional to 51,460.50 and 68,307 is: 90,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.50 : 68,307 = 68,307 : x
  2. Step 2: Convert to fraction form
    51,460.50/68,307 = 68,307/x
  3. Step 3: Cross multiply
    51,460.50x = 68,307 × 68,307
  4. Step 4: Simplify right side
    51,460.50x = 4,665,846,249
  5. Step 5: Solve for x
    x = 4,665,846,249/51,460.50
  6. Step 6: Final answer
    x = 90,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.