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Finding the Third Proportional to 26,380.69 and 56,971.69

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Solution

The third proportional to 26,380.69 and 56,971.69 is: 123,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.69 : 56,971.69 = 56,971.69 : x
  2. Step 2: Convert to fraction form
    26,380.69/56,971.69 = 56,971.69/x
  3. Step 3: Cross multiply
    26,380.69x = 56,971.69 × 56,971.69
  4. Step 4: Simplify right side
    26,380.69x = 3,245,773,176.60
  5. Step 5: Solve for x
    x = 3,245,773,176.60/26,380.69
  6. Step 6: Final answer
    x = 123,035.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.