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Finding the Third Proportional to 6,185 and 7,022

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Solution

The third proportional to 6,185 and 7,022 is: 7,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185 : 7,022 = 7,022 : x
  2. Step 2: Convert to fraction form
    6,185/7,022 = 7,022/x
  3. Step 3: Cross multiply
    6,185x = 7,022 × 7,022
  4. Step 4: Simplify right side
    6,185x = 49,308,484
  5. Step 5: Solve for x
    x = 49,308,484/6,185
  6. Step 6: Final answer
    x = 7,972.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.