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Finding the Third Proportional to 3,213 and 6,953

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Solution

The third proportional to 3,213 and 6,953 is: 15,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 6,953 = 6,953 : x
  2. Step 2: Convert to fraction form
    3,213/6,953 = 6,953/x
  3. Step 3: Cross multiply
    3,213x = 6,953 × 6,953
  4. Step 4: Simplify right side
    3,213x = 48,344,209
  5. Step 5: Solve for x
    x = 48,344,209/3,213
  6. Step 6: Final answer
    x = 15,046.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.