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Finding the Third Proportional to 21,343.50 and 33,134.06

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Solution

The third proportional to 21,343.50 and 33,134.06 is: 51,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.50 : 33,134.06 = 33,134.06 : x
  2. Step 2: Convert to fraction form
    21,343.50/33,134.06 = 33,134.06/x
  3. Step 3: Cross multiply
    21,343.50x = 33,134.06 × 33,134.06
  4. Step 4: Simplify right side
    21,343.50x = 1,097,866,097.75
  5. Step 5: Solve for x
    x = 1,097,866,097.75/21,343.50
  6. Step 6: Final answer
    x = 51,437.96

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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.