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Finding the Third Proportional to 7,138 and 10,203

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Solution

The third proportional to 7,138 and 10,203 is: 14,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,203 = 10,203 : x
  2. Step 2: Convert to fraction form
    7,138/10,203 = 10,203/x
  3. Step 3: Cross multiply
    7,138x = 10,203 × 10,203
  4. Step 4: Simplify right side
    7,138x = 104,101,209
  5. Step 5: Solve for x
    x = 104,101,209/7,138
  6. Step 6: Final answer
    x = 14,584.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.