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Finding the Third Proportional to 10,635 and 15,645

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Solution

The third proportional to 10,635 and 15,645 is: 23,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635 : 15,645 = 15,645 : x
  2. Step 2: Convert to fraction form
    10,635/15,645 = 15,645/x
  3. Step 3: Cross multiply
    10,635x = 15,645 × 15,645
  4. Step 4: Simplify right side
    10,635x = 244,766,025
  5. Step 5: Solve for x
    x = 244,766,025/10,635
  6. Step 6: Final answer
    x = 23,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.