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Finding the Third Proportional to 16,254.94 and 35,486.63

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Solution

The third proportional to 16,254.94 and 35,486.63 is: 77,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.94 : 35,486.63 = 35,486.63 : x
  2. Step 2: Convert to fraction form
    16,254.94/35,486.63 = 35,486.63/x
  3. Step 3: Cross multiply
    16,254.94x = 35,486.63 × 35,486.63
  4. Step 4: Simplify right side
    16,254.94x = 1,259,300,553.89
  5. Step 5: Solve for x
    x = 1,259,300,553.89/16,254.94
  6. Step 6: Final answer
    x = 77,471.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.