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Finding the Third Proportional to 5,074 and 7,125

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Solution

The third proportional to 5,074 and 7,125 is: 10,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074 : 7,125 = 7,125 : x
  2. Step 2: Convert to fraction form
    5,074/7,125 = 7,125/x
  3. Step 3: Cross multiply
    5,074x = 7,125 × 7,125
  4. Step 4: Simplify right side
    5,074x = 50,765,625
  5. Step 5: Solve for x
    x = 50,765,625/5,074
  6. Step 6: Final answer
    x = 10,005.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.