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Finding the Third Proportional to 10,217 and 15,623

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Solution

The third proportional to 10,217 and 15,623 is: 23,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 15,623 = 15,623 : x
  2. Step 2: Convert to fraction form
    10,217/15,623 = 15,623/x
  3. Step 3: Cross multiply
    10,217x = 15,623 × 15,623
  4. Step 4: Simplify right side
    10,217x = 244,078,129
  5. Step 5: Solve for x
    x = 244,078,129/10,217
  6. Step 6: Final answer
    x = 23,889.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.