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Finding the Third Proportional to 30,016.50 and 55,384.50

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Solution

The third proportional to 30,016.50 and 55,384.50 is: 102,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.50 : 55,384.50 = 55,384.50 : x
  2. Step 2: Convert to fraction form
    30,016.50/55,384.50 = 55,384.50/x
  3. Step 3: Cross multiply
    30,016.50x = 55,384.50 × 55,384.50
  4. Step 4: Simplify right side
    30,016.50x = 3,067,442,840.25
  5. Step 5: Solve for x
    x = 3,067,442,840.25/30,016.50
  6. Step 6: Final answer
    x = 102,191.89

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.