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Finding the Third Proportional to 12,603.73 and 17,664.01

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Solution

The third proportional to 12,603.73 and 17,664.01 is: 24,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.73 : 17,664.01 = 17,664.01 : x
  2. Step 2: Convert to fraction form
    12,603.73/17,664.01 = 17,664.01/x
  3. Step 3: Cross multiply
    12,603.73x = 17,664.01 × 17,664.01
  4. Step 4: Simplify right side
    12,603.73x = 312,017,310.00
  5. Step 5: Solve for x
    x = 312,017,310.00/12,603.73
  6. Step 6: Final answer
    x = 24,755.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.