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Finding the Third Proportional to 22,260.50 and 51,763

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Solution

The third proportional to 22,260.50 and 51,763 is: 120,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,260.50 : 51,763 = 51,763 : x
  2. Step 2: Convert to fraction form
    22,260.50/51,763 = 51,763/x
  3. Step 3: Cross multiply
    22,260.50x = 51,763 × 51,763
  4. Step 4: Simplify right side
    22,260.50x = 2,679,408,169
  5. Step 5: Solve for x
    x = 2,679,408,169/22,260.50
  6. Step 6: Final answer
    x = 120,366.04

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.