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Finding the Third Proportional to 51,349.50 and 76,680

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Solution

The third proportional to 51,349.50 and 76,680 is: 114,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,349.50 : 76,680 = 76,680 : x
  2. Step 2: Convert to fraction form
    51,349.50/76,680 = 76,680/x
  3. Step 3: Cross multiply
    51,349.50x = 76,680 × 76,680
  4. Step 4: Simplify right side
    51,349.50x = 5,879,822,400
  5. Step 5: Solve for x
    x = 5,879,822,400/51,349.50
  6. Step 6: Final answer
    x = 114,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.