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Finding the Third Proportional to 17,138 and 36,526

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Solution

The third proportional to 17,138 and 36,526 is: 77,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138 : 36,526 = 36,526 : x
  2. Step 2: Convert to fraction form
    17,138/36,526 = 36,526/x
  3. Step 3: Cross multiply
    17,138x = 36,526 × 36,526
  4. Step 4: Simplify right side
    17,138x = 1,334,148,676
  5. Step 5: Solve for x
    x = 1,334,148,676/17,138
  6. Step 6: Final answer
    x = 77,847.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.