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Finding the Third Proportional to 6,910 and 16,312

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Solution

The third proportional to 6,910 and 16,312 is: 38,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910 : 16,312 = 16,312 : x
  2. Step 2: Convert to fraction form
    6,910/16,312 = 16,312/x
  3. Step 3: Cross multiply
    6,910x = 16,312 × 16,312
  4. Step 4: Simplify right side
    6,910x = 266,081,344
  5. Step 5: Solve for x
    x = 266,081,344/6,910
  6. Step 6: Final answer
    x = 38,506.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.