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Finding the Third Proportional to 30,016.50 and 54,322.50

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Solution

The third proportional to 30,016.50 and 54,322.50 is: 98,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.50 : 54,322.50 = 54,322.50 : x
  2. Step 2: Convert to fraction form
    30,016.50/54,322.50 = 54,322.50/x
  3. Step 3: Cross multiply
    30,016.50x = 54,322.50 × 54,322.50
  4. Step 4: Simplify right side
    30,016.50x = 2,950,934,006.25
  5. Step 5: Solve for x
    x = 2,950,934,006.25/30,016.50
  6. Step 6: Final answer
    x = 98,310.40

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.