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Finding the Third Proportional to 16,178.48 and 34,606.41

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Solution

The third proportional to 16,178.48 and 34,606.41 is: 74,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.48 : 34,606.41 = 34,606.41 : x
  2. Step 2: Convert to fraction form
    16,178.48/34,606.41 = 34,606.41/x
  3. Step 3: Cross multiply
    16,178.48x = 34,606.41 × 34,606.41
  4. Step 4: Simplify right side
    16,178.48x = 1,197,603,353.54
  5. Step 5: Solve for x
    x = 1,197,603,353.54/16,178.48
  6. Step 6: Final answer
    x = 74,024.45

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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.