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Finding the Third Proportional to 19,811.14 and 29,716.72

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Solution

The third proportional to 19,811.14 and 29,716.72 is: 44,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.14 : 29,716.72 = 29,716.72 : x
  2. Step 2: Convert to fraction form
    19,811.14/29,716.72 = 29,716.72/x
  3. Step 3: Cross multiply
    19,811.14x = 29,716.72 × 29,716.72
  4. Step 4: Simplify right side
    19,811.14x = 883,083,257.19
  5. Step 5: Solve for x
    x = 883,083,257.19/19,811.14
  6. Step 6: Final answer
    x = 44,575.08

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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.