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Finding the Third Proportional to 10,106 and 15,645

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Solution

The third proportional to 10,106 and 15,645 is: 24,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106 : 15,645 = 15,645 : x
  2. Step 2: Convert to fraction form
    10,106/15,645 = 15,645/x
  3. Step 3: Cross multiply
    10,106x = 15,645 × 15,645
  4. Step 4: Simplify right side
    10,106x = 244,766,025
  5. Step 5: Solve for x
    x = 244,766,025/10,106
  6. Step 6: Final answer
    x = 24,219.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.