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Finding the Third Proportional to 21,313.13 and 33,184.69

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Solution

The third proportional to 21,313.13 and 33,184.69 is: 51,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.13 : 33,184.69 = 33,184.69 : x
  2. Step 2: Convert to fraction form
    21,313.13/33,184.69 = 33,184.69/x
  3. Step 3: Cross multiply
    21,313.13x = 33,184.69 × 33,184.69
  4. Step 4: Simplify right side
    21,313.13x = 1,101,223,484.47
  5. Step 5: Solve for x
    x = 1,101,223,484.47/21,313.13
  6. Step 6: Final answer
    x = 51,668.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.