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Finding the Third Proportional to 2,912 and 6,415

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Solution

The third proportional to 2,912 and 6,415 is: 14,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 6,415 = 6,415 : x
  2. Step 2: Convert to fraction form
    2,912/6,415 = 6,415/x
  3. Step 3: Cross multiply
    2,912x = 6,415 × 6,415
  4. Step 4: Simplify right side
    2,912x = 41,152,225
  5. Step 5: Solve for x
    x = 41,152,225/2,912
  6. Step 6: Final answer
    x = 14,131.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.