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Finding the Third Proportional to 14,066 and 21,207

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Solution

The third proportional to 14,066 and 21,207 is: 31,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066 : 21,207 = 21,207 : x
  2. Step 2: Convert to fraction form
    14,066/21,207 = 21,207/x
  3. Step 3: Cross multiply
    14,066x = 21,207 × 21,207
  4. Step 4: Simplify right side
    14,066x = 449,736,849
  5. Step 5: Solve for x
    x = 449,736,849/14,066
  6. Step 6: Final answer
    x = 31,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.