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Finding the Third Proportional to 17,455.71 and 37,678.29

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Solution

The third proportional to 17,455.71 and 37,678.29 is: 81,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.71 : 37,678.29 = 37,678.29 : x
  2. Step 2: Convert to fraction form
    17,455.71/37,678.29 = 37,678.29/x
  3. Step 3: Cross multiply
    17,455.71x = 37,678.29 × 37,678.29
  4. Step 4: Simplify right side
    17,455.71x = 1,419,653,466.68
  5. Step 5: Solve for x
    x = 1,419,653,466.68/17,455.71
  6. Step 6: Final answer
    x = 81,328.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.