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Finding the Third Proportional to 7,763.63 and 10,974.94

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Solution

The third proportional to 7,763.63 and 10,974.94 is: 15,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.63 : 10,974.94 = 10,974.94 : x
  2. Step 2: Convert to fraction form
    7,763.63/10,974.94 = 10,974.94/x
  3. Step 3: Cross multiply
    7,763.63x = 10,974.94 × 10,974.94
  4. Step 4: Simplify right side
    7,763.63x = 120,449,253.13
  5. Step 5: Solve for x
    x = 120,449,253.13/7,763.63
  6. Step 6: Final answer
    x = 15,514.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.