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Finding the Third Proportional to 2,906 and 6,316

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Solution

The third proportional to 2,906 and 6,316 is: 13,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 6,316 = 6,316 : x
  2. Step 2: Convert to fraction form
    2,906/6,316 = 6,316/x
  3. Step 3: Cross multiply
    2,906x = 6,316 × 6,316
  4. Step 4: Simplify right side
    2,906x = 39,891,856
  5. Step 5: Solve for x
    x = 39,891,856/2,906
  6. Step 6: Final answer
    x = 13,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.