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Finding the Third Proportional to 5,701 and 12,158

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Solution

The third proportional to 5,701 and 12,158 is: 25,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701 : 12,158 = 12,158 : x
  2. Step 2: Convert to fraction form
    5,701/12,158 = 12,158/x
  3. Step 3: Cross multiply
    5,701x = 12,158 × 12,158
  4. Step 4: Simplify right side
    5,701x = 147,816,964
  5. Step 5: Solve for x
    x = 147,816,964/5,701
  6. Step 6: Final answer
    x = 25,928.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.