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Finding the Third Proportional to 7,746 and 17,763

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Solution

The third proportional to 7,746 and 17,763 is: 40,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 17,763 = 17,763 : x
  2. Step 2: Convert to fraction form
    7,746/17,763 = 17,763/x
  3. Step 3: Cross multiply
    7,746x = 17,763 × 17,763
  4. Step 4: Simplify right side
    7,746x = 315,524,169
  5. Step 5: Solve for x
    x = 315,524,169/7,746
  6. Step 6: Final answer
    x = 40,733.82

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.