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Finding the Third Proportional to 16,378.88 and 35,094.94

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Solution

The third proportional to 16,378.88 and 35,094.94 is: 75,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.88 : 35,094.94 = 35,094.94 : x
  2. Step 2: Convert to fraction form
    16,378.88/35,094.94 = 35,094.94/x
  3. Step 3: Cross multiply
    16,378.88x = 35,094.94 × 35,094.94
  4. Step 4: Simplify right side
    16,378.88x = 1,231,654,638.13
  5. Step 5: Solve for x
    x = 1,231,654,638.13/16,378.88
  6. Step 6: Final answer
    x = 75,197.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.