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Finding the Third Proportional to 17,771.91 and 23,848.17

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Solution

The third proportional to 17,771.91 and 23,848.17 is: 32,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.91 : 23,848.17 = 23,848.17 : x
  2. Step 2: Convert to fraction form
    17,771.91/23,848.17 = 23,848.17/x
  3. Step 3: Cross multiply
    17,771.91x = 23,848.17 × 23,848.17
  4. Step 4: Simplify right side
    17,771.91x = 568,735,301.78
  5. Step 5: Solve for x
    x = 568,735,301.78/17,771.91
  6. Step 6: Final answer
    x = 32,001.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.