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Finding the Third Proportional to 51,764.50 and 73,257

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Solution

The third proportional to 51,764.50 and 73,257 is: 103,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764.50 : 73,257 = 73,257 : x
  2. Step 2: Convert to fraction form
    51,764.50/73,257 = 73,257/x
  3. Step 3: Cross multiply
    51,764.50x = 73,257 × 73,257
  4. Step 4: Simplify right side
    51,764.50x = 5,366,588,049
  5. Step 5: Solve for x
    x = 5,366,588,049/51,764.50
  6. Step 6: Final answer
    x = 103,673.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.