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Finding the Third Proportional to 6,973 and 10,475

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Solution

The third proportional to 6,973 and 10,475 is: 15,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 10,475 = 10,475 : x
  2. Step 2: Convert to fraction form
    6,973/10,475 = 10,475/x
  3. Step 3: Cross multiply
    6,973x = 10,475 × 10,475
  4. Step 4: Simplify right side
    6,973x = 109,725,625
  5. Step 5: Solve for x
    x = 109,725,625/6,973
  6. Step 6: Final answer
    x = 15,735.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.