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Finding the Third Proportional to 17,632.69 and 27,371.67

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Solution

The third proportional to 17,632.69 and 27,371.67 is: 42,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.69 : 27,371.67 = 27,371.67 : x
  2. Step 2: Convert to fraction form
    17,632.69/27,371.67 = 27,371.67/x
  3. Step 3: Cross multiply
    17,632.69x = 27,371.67 × 27,371.67
  4. Step 4: Simplify right side
    17,632.69x = 749,208,421.23
  5. Step 5: Solve for x
    x = 749,208,421.23/17,632.69
  6. Step 6: Final answer
    x = 42,489.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.