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Finding the Third Proportional to 10,538 and 15,835

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Solution

The third proportional to 10,538 and 15,835 is: 23,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538 : 15,835 = 15,835 : x
  2. Step 2: Convert to fraction form
    10,538/15,835 = 15,835/x
  3. Step 3: Cross multiply
    10,538x = 15,835 × 15,835
  4. Step 4: Simplify right side
    10,538x = 250,747,225
  5. Step 5: Solve for x
    x = 250,747,225/10,538
  6. Step 6: Final answer
    x = 23,794.57

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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.