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Finding the Third Proportional to 12,553.59 and 17,213.77

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Solution

The third proportional to 12,553.59 and 17,213.77 is: 23,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.59 : 17,213.77 = 17,213.77 : x
  2. Step 2: Convert to fraction form
    12,553.59/17,213.77 = 17,213.77/x
  3. Step 3: Cross multiply
    12,553.59x = 17,213.77 × 17,213.77
  4. Step 4: Simplify right side
    12,553.59x = 296,313,726.99
  5. Step 5: Solve for x
    x = 296,313,726.99/12,553.59
  6. Step 6: Final answer
    x = 23,603.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.