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Finding the Third Proportional to 2,722 and 6,316

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Solution

The third proportional to 2,722 and 6,316 is: 14,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 6,316 = 6,316 : x
  2. Step 2: Convert to fraction form
    2,722/6,316 = 6,316/x
  3. Step 3: Cross multiply
    2,722x = 6,316 × 6,316
  4. Step 4: Simplify right side
    2,722x = 39,891,856
  5. Step 5: Solve for x
    x = 39,891,856/2,722
  6. Step 6: Final answer
    x = 14,655.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.