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Finding the Third Proportional to 14,921 and 20,190.50

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Solution

The third proportional to 14,921 and 20,190.50 is: 27,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921 : 20,190.50 = 20,190.50 : x
  2. Step 2: Convert to fraction form
    14,921/20,190.50 = 20,190.50/x
  3. Step 3: Cross multiply
    14,921x = 20,190.50 × 20,190.50
  4. Step 4: Simplify right side
    14,921x = 407,656,290.25
  5. Step 5: Solve for x
    x = 407,656,290.25/14,921
  6. Step 6: Final answer
    x = 27,320.98

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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.