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Finding the Third Proportional to 7,138 and 10,043

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Solution

The third proportional to 7,138 and 10,043 is: 14,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,043 = 10,043 : x
  2. Step 2: Convert to fraction form
    7,138/10,043 = 10,043/x
  3. Step 3: Cross multiply
    7,138x = 10,043 × 10,043
  4. Step 4: Simplify right side
    7,138x = 100,861,849
  5. Step 5: Solve for x
    x = 100,861,849/7,138
  6. Step 6: Final answer
    x = 14,130.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.