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Finding the Third Proportional to 19,310.50 and 42,311.75

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Solution

The third proportional to 19,310.50 and 42,311.75 is: 92,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310.50 : 42,311.75 = 42,311.75 : x
  2. Step 2: Convert to fraction form
    19,310.50/42,311.75 = 42,311.75/x
  3. Step 3: Cross multiply
    19,310.50x = 42,311.75 × 42,311.75
  4. Step 4: Simplify right side
    19,310.50x = 1,790,284,188.06
  5. Step 5: Solve for x
    x = 1,790,284,188.06/19,310.50
  6. Step 6: Final answer
    x = 92,710.40

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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.