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Finding the Third Proportional to 7,842.45 and 17,239.71

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Solution

The third proportional to 7,842.45 and 17,239.71 is: 37,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.45 : 17,239.71 = 17,239.71 : x
  2. Step 2: Convert to fraction form
    7,842.45/17,239.71 = 17,239.71/x
  3. Step 3: Cross multiply
    7,842.45x = 17,239.71 × 17,239.71
  4. Step 4: Simplify right side
    7,842.45x = 297,207,633.21
  5. Step 5: Solve for x
    x = 297,207,633.21/7,842.45
  6. Step 6: Final answer
    x = 37,897.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.