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Finding the Third Proportional to 2,961 and 6,475

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Solution

The third proportional to 2,961 and 6,475 is: 14,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 6,475 = 6,475 : x
  2. Step 2: Convert to fraction form
    2,961/6,475 = 6,475/x
  3. Step 3: Cross multiply
    2,961x = 6,475 × 6,475
  4. Step 4: Simplify right side
    2,961x = 41,925,625
  5. Step 5: Solve for x
    x = 41,925,625/2,961
  6. Step 6: Final answer
    x = 14,159.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.