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Finding the Third Proportional to 27,526.50 and 30,462.75

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Solution

The third proportional to 27,526.50 and 30,462.75 is: 33,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.50 : 30,462.75 = 30,462.75 : x
  2. Step 2: Convert to fraction form
    27,526.50/30,462.75 = 30,462.75/x
  3. Step 3: Cross multiply
    27,526.50x = 30,462.75 × 30,462.75
  4. Step 4: Simplify right side
    27,526.50x = 927,979,137.56
  5. Step 5: Solve for x
    x = 927,979,137.56/27,526.50
  6. Step 6: Final answer
    x = 33,712.21

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.