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Finding the Third Proportional to 51,309.50 and 76,758

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Solution

The third proportional to 51,309.50 and 76,758 is: 114,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.50 : 76,758 = 76,758 : x
  2. Step 2: Convert to fraction form
    51,309.50/76,758 = 76,758/x
  3. Step 3: Cross multiply
    51,309.50x = 76,758 × 76,758
  4. Step 4: Simplify right side
    51,309.50x = 5,891,790,564
  5. Step 5: Solve for x
    x = 5,891,790,564/51,309.50
  6. Step 6: Final answer
    x = 114,828.45

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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.