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Finding the Third Proportional to 2,912 and 6,464

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Solution

The third proportional to 2,912 and 6,464 is: 14,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 6,464 = 6,464 : x
  2. Step 2: Convert to fraction form
    2,912/6,464 = 6,464/x
  3. Step 3: Cross multiply
    2,912x = 6,464 × 6,464
  4. Step 4: Simplify right side
    2,912x = 41,783,296
  5. Step 5: Solve for x
    x = 41,783,296/2,912
  6. Step 6: Final answer
    x = 14,348.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.