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Finding the Third Proportional to 14,141.25 and 30,742.88

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Solution

The third proportional to 14,141.25 and 30,742.88 is: 66,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.25 : 30,742.88 = 30,742.88 : x
  2. Step 2: Convert to fraction form
    14,141.25/30,742.88 = 30,742.88/x
  3. Step 3: Cross multiply
    14,141.25x = 30,742.88 × 30,742.88
  4. Step 4: Simplify right side
    14,141.25x = 945,124,363.27
  5. Step 5: Solve for x
    x = 945,124,363.27/14,141.25
  6. Step 6: Final answer
    x = 66,834.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.