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Finding the Third Proportional to 16,178.48 and 35,360.30

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Solution

The third proportional to 16,178.48 and 35,360.30 is: 77,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.48 : 35,360.30 = 35,360.30 : x
  2. Step 2: Convert to fraction form
    16,178.48/35,360.30 = 35,360.30/x
  3. Step 3: Cross multiply
    16,178.48x = 35,360.30 × 35,360.30
  4. Step 4: Simplify right side
    16,178.48x = 1,250,350,595.09
  5. Step 5: Solve for x
    x = 1,250,350,595.09/16,178.48
  6. Step 6: Final answer
    x = 77,284.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.