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Finding the Third Proportional to 21,309.96 and 33,089.77

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Solution

The third proportional to 21,309.96 and 33,089.77 is: 51,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.96 : 33,089.77 = 33,089.77 : x
  2. Step 2: Convert to fraction form
    21,309.96/33,089.77 = 33,089.77/x
  3. Step 3: Cross multiply
    21,309.96x = 33,089.77 × 33,089.77
  4. Step 4: Simplify right side
    21,309.96x = 1,094,932,589.12
  5. Step 5: Solve for x
    x = 1,094,932,589.12/21,309.96
  6. Step 6: Final answer
    x = 51,381.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.