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Finding the Third Proportional to 9,710 and 11,054

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Solution

The third proportional to 9,710 and 11,054 is: 12,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 11,054 = 11,054 : x
  2. Step 2: Convert to fraction form
    9,710/11,054 = 11,054/x
  3. Step 3: Cross multiply
    9,710x = 11,054 × 11,054
  4. Step 4: Simplify right side
    9,710x = 122,190,916
  5. Step 5: Solve for x
    x = 122,190,916/9,710
  6. Step 6: Final answer
    x = 12,584.03

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.