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Finding the Third Proportional to 5,138 and 9,502

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Solution

The third proportional to 5,138 and 9,502 is: 17,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 9,502 = 9,502 : x
  2. Step 2: Convert to fraction form
    5,138/9,502 = 9,502/x
  3. Step 3: Cross multiply
    5,138x = 9,502 × 9,502
  4. Step 4: Simplify right side
    5,138x = 90,288,004
  5. Step 5: Solve for x
    x = 90,288,004/5,138
  6. Step 6: Final answer
    x = 17,572.60

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.