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Finding the Third Proportional to 3,162 and 5,700

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Solution

The third proportional to 3,162 and 5,700 is: 10,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 5,700 = 5,700 : x
  2. Step 2: Convert to fraction form
    3,162/5,700 = 5,700/x
  3. Step 3: Cross multiply
    3,162x = 5,700 × 5,700
  4. Step 4: Simplify right side
    3,162x = 32,490,000
  5. Step 5: Solve for x
    x = 32,490,000/3,162
  6. Step 6: Final answer
    x = 10,275.14

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.