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Finding the Third Proportional to 12,520.69 and 19,499.06

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Solution

The third proportional to 12,520.69 and 19,499.06 is: 30,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,520.69 : 19,499.06 = 19,499.06 : x
  2. Step 2: Convert to fraction form
    12,520.69/19,499.06 = 19,499.06/x
  3. Step 3: Cross multiply
    12,520.69x = 19,499.06 × 19,499.06
  4. Step 4: Simplify right side
    12,520.69x = 380,213,438.38
  5. Step 5: Solve for x
    x = 380,213,438.38/12,520.69
  6. Step 6: Final answer
    x = 30,366.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.