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Finding the Third Proportional to 12,033.56 and 26,294.63

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Solution

The third proportional to 12,033.56 and 26,294.63 is: 57,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.56 : 26,294.63 = 26,294.63 : x
  2. Step 2: Convert to fraction form
    12,033.56/26,294.63 = 26,294.63/x
  3. Step 3: Cross multiply
    12,033.56x = 26,294.63 × 26,294.63
  4. Step 4: Simplify right side
    12,033.56x = 691,407,303.89
  5. Step 5: Solve for x
    x = 691,407,303.89/12,033.56
  6. Step 6: Final answer
    x = 57,456.58

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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.