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Finding the Third Proportional to 6,699 and 7,185

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Solution

The third proportional to 6,699 and 7,185 is: 7,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699 : 7,185 = 7,185 : x
  2. Step 2: Convert to fraction form
    6,699/7,185 = 7,185/x
  3. Step 3: Cross multiply
    6,699x = 7,185 × 7,185
  4. Step 4: Simplify right side
    6,699x = 51,624,225
  5. Step 5: Solve for x
    x = 51,624,225/6,699
  6. Step 6: Final answer
    x = 7,706.26

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.