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Finding the Third Proportional to 6,110 and 13,360

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Solution

The third proportional to 6,110 and 13,360 is: 29,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110 : 13,360 = 13,360 : x
  2. Step 2: Convert to fraction form
    6,110/13,360 = 13,360/x
  3. Step 3: Cross multiply
    6,110x = 13,360 × 13,360
  4. Step 4: Simplify right side
    6,110x = 178,489,600
  5. Step 5: Solve for x
    x = 178,489,600/6,110
  6. Step 6: Final answer
    x = 29,212.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.