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Finding the Third Proportional to 5,102 and 7,185

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Solution

The third proportional to 5,102 and 7,185 is: 10,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,185 = 7,185 : x
  2. Step 2: Convert to fraction form
    5,102/7,185 = 7,185/x
  3. Step 3: Cross multiply
    5,102x = 7,185 × 7,185
  4. Step 4: Simplify right side
    5,102x = 51,624,225
  5. Step 5: Solve for x
    x = 51,624,225/5,102
  6. Step 6: Final answer
    x = 10,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.