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Finding the Third Proportional to 7,607 and 11,125

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Solution

The third proportional to 7,607 and 11,125 is: 16,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607 : 11,125 = 11,125 : x
  2. Step 2: Convert to fraction form
    7,607/11,125 = 11,125/x
  3. Step 3: Cross multiply
    7,607x = 11,125 × 11,125
  4. Step 4: Simplify right side
    7,607x = 123,765,625
  5. Step 5: Solve for x
    x = 123,765,625/7,607
  6. Step 6: Final answer
    x = 16,269.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.