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Finding the Third Proportional to 7,736 and 16,565

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Solution

The third proportional to 7,736 and 16,565 is: 35,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736 : 16,565 = 16,565 : x
  2. Step 2: Convert to fraction form
    7,736/16,565 = 16,565/x
  3. Step 3: Cross multiply
    7,736x = 16,565 × 16,565
  4. Step 4: Simplify right side
    7,736x = 274,399,225
  5. Step 5: Solve for x
    x = 274,399,225/7,736
  6. Step 6: Final answer
    x = 35,470.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.