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Finding the Third Proportional to 14,919.75 and 20,192.63

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Solution

The third proportional to 14,919.75 and 20,192.63 is: 27,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.75 : 20,192.63 = 20,192.63 : x
  2. Step 2: Convert to fraction form
    14,919.75/20,192.63 = 20,192.63/x
  3. Step 3: Cross multiply
    14,919.75x = 20,192.63 × 20,192.63
  4. Step 4: Simplify right side
    14,919.75x = 407,742,104.39
  5. Step 5: Solve for x
    x = 407,742,104.39/14,919.75
  6. Step 6: Final answer
    x = 27,329.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.