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Finding the Third Proportional to 51,303.50 and 76,750

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Solution

The third proportional to 51,303.50 and 76,750 is: 114,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,303.50 : 76,750 = 76,750 : x
  2. Step 2: Convert to fraction form
    51,303.50/76,750 = 76,750/x
  3. Step 3: Cross multiply
    51,303.50x = 76,750 × 76,750
  4. Step 4: Simplify right side
    51,303.50x = 5,890,562,500
  5. Step 5: Solve for x
    x = 5,890,562,500/51,303.50
  6. Step 6: Final answer
    x = 114,817.95

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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.