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Finding the Third Proportional to 10,171 and 15,365

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Solution

The third proportional to 10,171 and 15,365 is: 23,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171 : 15,365 = 15,365 : x
  2. Step 2: Convert to fraction form
    10,171/15,365 = 15,365/x
  3. Step 3: Cross multiply
    10,171x = 15,365 × 15,365
  4. Step 4: Simplify right side
    10,171x = 236,083,225
  5. Step 5: Solve for x
    x = 236,083,225/10,171
  6. Step 6: Final answer
    x = 23,211.41

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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.