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Finding the Third Proportional to 9,738 and 15,103

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Solution

The third proportional to 9,738 and 15,103 is: 23,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 15,103 = 15,103 : x
  2. Step 2: Convert to fraction form
    9,738/15,103 = 15,103/x
  3. Step 3: Cross multiply
    9,738x = 15,103 × 15,103
  4. Step 4: Simplify right side
    9,738x = 228,100,609
  5. Step 5: Solve for x
    x = 228,100,609/9,738
  6. Step 6: Final answer
    x = 23,423.76

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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.