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Finding the Third Proportional to 14,142 and 21,258

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Solution

The third proportional to 14,142 and 21,258 is: 31,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 21,258 = 21,258 : x
  2. Step 2: Convert to fraction form
    14,142/21,258 = 21,258/x
  3. Step 3: Cross multiply
    14,142x = 21,258 × 21,258
  4. Step 4: Simplify right side
    14,142x = 451,902,564
  5. Step 5: Solve for x
    x = 451,902,564/14,142
  6. Step 6: Final answer
    x = 31,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.