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Finding the Third Proportional to 20,823.09 and 30,453.66

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Solution

The third proportional to 20,823.09 and 30,453.66 is: 44,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.09 : 30,453.66 = 30,453.66 : x
  2. Step 2: Convert to fraction form
    20,823.09/30,453.66 = 30,453.66/x
  3. Step 3: Cross multiply
    20,823.09x = 30,453.66 × 30,453.66
  4. Step 4: Simplify right side
    20,823.09x = 927,425,178.99
  5. Step 5: Solve for x
    x = 927,425,178.99/20,823.09
  6. Step 6: Final answer
    x = 44,538.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.