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Finding the Third Proportional to 9,925 and 13,231

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Solution

The third proportional to 9,925 and 13,231 is: 17,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925 : 13,231 = 13,231 : x
  2. Step 2: Convert to fraction form
    9,925/13,231 = 13,231/x
  3. Step 3: Cross multiply
    9,925x = 13,231 × 13,231
  4. Step 4: Simplify right side
    9,925x = 175,059,361
  5. Step 5: Solve for x
    x = 175,059,361/9,925
  6. Step 6: Final answer
    x = 17,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.