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Finding the Third Proportional to 7,126 and 11,063

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Solution

The third proportional to 7,126 and 11,063 is: 17,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126 : 11,063 = 11,063 : x
  2. Step 2: Convert to fraction form
    7,126/11,063 = 11,063/x
  3. Step 3: Cross multiply
    7,126x = 11,063 × 11,063
  4. Step 4: Simplify right side
    7,126x = 122,389,969
  5. Step 5: Solve for x
    x = 122,389,969/7,126
  6. Step 6: Final answer
    x = 17,175.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.