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Finding the Third Proportional to 6,903 and 10,475

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Solution

The third proportional to 6,903 and 10,475 is: 15,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 10,475 = 10,475 : x
  2. Step 2: Convert to fraction form
    6,903/10,475 = 10,475/x
  3. Step 3: Cross multiply
    6,903x = 10,475 × 10,475
  4. Step 4: Simplify right side
    6,903x = 109,725,625
  5. Step 5: Solve for x
    x = 109,725,625/6,903
  6. Step 6: Final answer
    x = 15,895.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.