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Finding the Third Proportional to 27,960.19 and 42,000.19

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Solution

The third proportional to 27,960.19 and 42,000.19 is: 63,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.19 : 42,000.19 = 42,000.19 : x
  2. Step 2: Convert to fraction form
    27,960.19/42,000.19 = 42,000.19/x
  3. Step 3: Cross multiply
    27,960.19x = 42,000.19 × 42,000.19
  4. Step 4: Simplify right side
    27,960.19x = 1,764,015,750.04
  5. Step 5: Solve for x
    x = 1,764,015,750.04/27,960.19
  6. Step 6: Final answer
    x = 63,090.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.