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Finding the Third Proportional to 11,870.93 and 18,797.38

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Solution

The third proportional to 11,870.93 and 18,797.38 is: 29,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.93 : 18,797.38 = 18,797.38 : x
  2. Step 2: Convert to fraction form
    11,870.93/18,797.38 = 18,797.38/x
  3. Step 3: Cross multiply
    11,870.93x = 18,797.38 × 18,797.38
  4. Step 4: Simplify right side
    11,870.93x = 353,341,453.75
  5. Step 5: Solve for x
    x = 353,341,453.75/11,870.93
  6. Step 6: Final answer
    x = 29,765.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.