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Finding the Third Proportional to 19,730.25 and 29,527.88

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Solution

The third proportional to 19,730.25 and 29,527.88 is: 44,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.25 : 29,527.88 = 29,527.88 : x
  2. Step 2: Convert to fraction form
    19,730.25/29,527.88 = 29,527.88/x
  3. Step 3: Cross multiply
    19,730.25x = 29,527.88 × 29,527.88
  4. Step 4: Simplify right side
    19,730.25x = 871,895,402.02
  5. Step 5: Solve for x
    x = 871,895,402.02/19,730.25
  6. Step 6: Final answer
    x = 44,190.79

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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.