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Finding the Third Proportional to 10,026 and 14,251

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Solution

The third proportional to 10,026 and 14,251 is: 20,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 14,251 = 14,251 : x
  2. Step 2: Convert to fraction form
    10,026/14,251 = 14,251/x
  3. Step 3: Cross multiply
    10,026x = 14,251 × 14,251
  4. Step 4: Simplify right side
    10,026x = 203,091,001
  5. Step 5: Solve for x
    x = 203,091,001/10,026
  6. Step 6: Final answer
    x = 20,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.