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Finding the Third Proportional to 9,655 and 20,713

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Solution

The third proportional to 9,655 and 20,713 is: 44,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655 : 20,713 = 20,713 : x
  2. Step 2: Convert to fraction form
    9,655/20,713 = 20,713/x
  3. Step 3: Cross multiply
    9,655x = 20,713 × 20,713
  4. Step 4: Simplify right side
    9,655x = 429,028,369
  5. Step 5: Solve for x
    x = 429,028,369/9,655
  6. Step 6: Final answer
    x = 44,435.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.