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Finding the Third Proportional to 17,546.63 and 41,421.38

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Solution

The third proportional to 17,546.63 and 41,421.38 is: 97,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.63 : 41,421.38 = 41,421.38 : x
  2. Step 2: Convert to fraction form
    17,546.63/41,421.38 = 41,421.38/x
  3. Step 3: Cross multiply
    17,546.63x = 41,421.38 × 41,421.38
  4. Step 4: Simplify right side
    17,546.63x = 1,715,730,306.89
  5. Step 5: Solve for x
    x = 1,715,730,306.89/17,546.63
  6. Step 6: Final answer
    x = 97,781.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.