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Finding the Third Proportional to 14,168.25 and 21,861

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Solution

The third proportional to 14,168.25 and 21,861 is: 33,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168.25 : 21,861 = 21,861 : x
  2. Step 2: Convert to fraction form
    14,168.25/21,861 = 21,861/x
  3. Step 3: Cross multiply
    14,168.25x = 21,861 × 21,861
  4. Step 4: Simplify right side
    14,168.25x = 477,903,321
  5. Step 5: Solve for x
    x = 477,903,321/14,168.25
  6. Step 6: Final answer
    x = 33,730.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.