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Finding the Third Proportional to 7,727 and 14,356

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Solution

The third proportional to 7,727 and 14,356 is: 26,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727 : 14,356 = 14,356 : x
  2. Step 2: Convert to fraction form
    7,727/14,356 = 14,356/x
  3. Step 3: Cross multiply
    7,727x = 14,356 × 14,356
  4. Step 4: Simplify right side
    7,727x = 206,094,736
  5. Step 5: Solve for x
    x = 206,094,736/7,727
  6. Step 6: Final answer
    x = 26,672.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.