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Finding the Third Proportional to 10,423 and 15,635

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Solution

The third proportional to 10,423 and 15,635 is: 23,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423 : 15,635 = 15,635 : x
  2. Step 2: Convert to fraction form
    10,423/15,635 = 15,635/x
  3. Step 3: Cross multiply
    10,423x = 15,635 × 15,635
  4. Step 4: Simplify right side
    10,423x = 244,453,225
  5. Step 5: Solve for x
    x = 244,453,225/10,423
  6. Step 6: Final answer
    x = 23,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.