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Finding the Third Proportional to 13,811.13 and 20,716.70

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Solution

The third proportional to 13,811.13 and 20,716.70 is: 31,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.13 : 20,716.70 = 20,716.70 : x
  2. Step 2: Convert to fraction form
    13,811.13/20,716.70 = 20,716.70/x
  3. Step 3: Cross multiply
    13,811.13x = 20,716.70 × 20,716.70
  4. Step 4: Simplify right side
    13,811.13x = 429,181,626.52
  5. Step 5: Solve for x
    x = 429,181,626.52/13,811.13
  6. Step 6: Final answer
    x = 31,075.05

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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.