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Finding the Third Proportional to 13,876.63 and 33,553.93

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Solution

The third proportional to 13,876.63 and 33,553.93 is: 81,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.63 : 33,553.93 = 33,553.93 : x
  2. Step 2: Convert to fraction form
    13,876.63/33,553.93 = 33,553.93/x
  3. Step 3: Cross multiply
    13,876.63x = 33,553.93 × 33,553.93
  4. Step 4: Simplify right side
    13,876.63x = 1,125,866,459.61
  5. Step 5: Solve for x
    x = 1,125,866,459.61/13,876.63
  6. Step 6: Final answer
    x = 81,134.00

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.