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Finding the Third Proportional to 7,655 and 17,645

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Solution

The third proportional to 7,655 and 17,645 is: 40,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655 : 17,645 = 17,645 : x
  2. Step 2: Convert to fraction form
    7,655/17,645 = 17,645/x
  3. Step 3: Cross multiply
    7,655x = 17,645 × 17,645
  4. Step 4: Simplify right side
    7,655x = 311,346,025
  5. Step 5: Solve for x
    x = 311,346,025/7,655
  6. Step 6: Final answer
    x = 40,672.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.