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Finding the Third Proportional to 5,608.69 and 12,146.06

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Solution

The third proportional to 5,608.69 and 12,146.06 is: 26,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.69 : 12,146.06 = 12,146.06 : x
  2. Step 2: Convert to fraction form
    5,608.69/12,146.06 = 12,146.06/x
  3. Step 3: Cross multiply
    5,608.69x = 12,146.06 × 12,146.06
  4. Step 4: Simplify right side
    5,608.69x = 147,526,834.25
  5. Step 5: Solve for x
    x = 147,526,834.25/5,608.69
  6. Step 6: Final answer
    x = 26,303.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.