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Finding the Third Proportional to 14,066 and 20,235

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Solution

The third proportional to 14,066 and 20,235 is: 29,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066 : 20,235 = 20,235 : x
  2. Step 2: Convert to fraction form
    14,066/20,235 = 20,235/x
  3. Step 3: Cross multiply
    14,066x = 20,235 × 20,235
  4. Step 4: Simplify right side
    14,066x = 409,455,225
  5. Step 5: Solve for x
    x = 409,455,225/14,066
  6. Step 6: Final answer
    x = 29,109.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.