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Finding the Third Proportional to 7,644.75 and 10,765.31

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Solution

The third proportional to 7,644.75 and 10,765.31 is: 15,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.75 : 10,765.31 = 10,765.31 : x
  2. Step 2: Convert to fraction form
    7,644.75/10,765.31 = 10,765.31/x
  3. Step 3: Cross multiply
    7,644.75x = 10,765.31 × 10,765.31
  4. Step 4: Simplify right side
    7,644.75x = 115,891,953.22
  5. Step 5: Solve for x
    x = 115,891,953.22/7,644.75
  6. Step 6: Final answer
    x = 15,159.68

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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.