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Finding the Third Proportional to 21,313.13 and 33,434.44

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Solution

The third proportional to 21,313.13 and 33,434.44 is: 52,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.13 : 33,434.44 = 33,434.44 : x
  2. Step 2: Convert to fraction form
    21,313.13/33,434.44 = 33,434.44/x
  3. Step 3: Cross multiply
    21,313.13x = 33,434.44 × 33,434.44
  4. Step 4: Simplify right side
    21,313.13x = 1,117,861,610.94
  5. Step 5: Solve for x
    x = 1,117,861,610.94/21,313.13
  6. Step 6: Final answer
    x = 52,449.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.