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Finding the Third Proportional to 7,814 and 17,356

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Solution

The third proportional to 7,814 and 17,356 is: 38,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 17,356 = 17,356 : x
  2. Step 2: Convert to fraction form
    7,814/17,356 = 17,356/x
  3. Step 3: Cross multiply
    7,814x = 17,356 × 17,356
  4. Step 4: Simplify right side
    7,814x = 301,230,736
  5. Step 5: Solve for x
    x = 301,230,736/7,814
  6. Step 6: Final answer
    x = 38,550.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.