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Finding the Third Proportional to 14,164.88 and 20,855.81

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Solution

The third proportional to 14,164.88 and 20,855.81 is: 30,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.88 : 20,855.81 = 20,855.81 : x
  2. Step 2: Convert to fraction form
    14,164.88/20,855.81 = 20,855.81/x
  3. Step 3: Cross multiply
    14,164.88x = 20,855.81 × 20,855.81
  4. Step 4: Simplify right side
    14,164.88x = 434,964,915.04
  5. Step 5: Solve for x
    x = 434,964,915.04/14,164.88
  6. Step 6: Final answer
    x = 30,707.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.