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Finding the Third Proportional to 7,114 and 10,171

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Solution

The third proportional to 7,114 and 10,171 is: 14,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 10,171 = 10,171 : x
  2. Step 2: Convert to fraction form
    7,114/10,171 = 10,171/x
  3. Step 3: Cross multiply
    7,114x = 10,171 × 10,171
  4. Step 4: Simplify right side
    7,114x = 103,449,241
  5. Step 5: Solve for x
    x = 103,449,241/7,114
  6. Step 6: Final answer
    x = 14,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.