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Finding the Third Proportional to 17,666.28 and 38,446.21

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Solution

The third proportional to 17,666.28 and 38,446.21 is: 83,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.28 : 38,446.21 = 38,446.21 : x
  2. Step 2: Convert to fraction form
    17,666.28/38,446.21 = 38,446.21/x
  3. Step 3: Cross multiply
    17,666.28x = 38,446.21 × 38,446.21
  4. Step 4: Simplify right side
    17,666.28x = 1,478,110,835.09
  5. Step 5: Solve for x
    x = 1,478,110,835.09/17,666.28
  6. Step 6: Final answer
    x = 83,668.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.