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Finding the Third Proportional to 12,229.73 and 17,985.80

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Solution

The third proportional to 12,229.73 and 17,985.80 is: 26,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.73 : 17,985.80 = 17,985.80 : x
  2. Step 2: Convert to fraction form
    12,229.73/17,985.80 = 17,985.80/x
  3. Step 3: Cross multiply
    12,229.73x = 17,985.80 × 17,985.80
  4. Step 4: Simplify right side
    12,229.73x = 323,488,889.23
  5. Step 5: Solve for x
    x = 323,488,889.23/12,229.73
  6. Step 6: Final answer
    x = 26,451.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.