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Finding the Third Proportional to 6,110.44 and 9,212.06

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Solution

The third proportional to 6,110.44 and 9,212.06 is: 13,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.44 : 9,212.06 = 9,212.06 : x
  2. Step 2: Convert to fraction form
    6,110.44/9,212.06 = 9,212.06/x
  3. Step 3: Cross multiply
    6,110.44x = 9,212.06 × 9,212.06
  4. Step 4: Simplify right side
    6,110.44x = 84,862,095.50
  5. Step 5: Solve for x
    x = 84,862,095.50/6,110.44
  6. Step 6: Final answer
    x = 13,888.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.