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Finding the Third Proportional to 17,518 and 25,526

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Solution

The third proportional to 17,518 and 25,526 is: 37,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,518 : 25,526 = 25,526 : x
  2. Step 2: Convert to fraction form
    17,518/25,526 = 25,526/x
  3. Step 3: Cross multiply
    17,518x = 25,526 × 25,526
  4. Step 4: Simplify right side
    17,518x = 651,576,676
  5. Step 5: Solve for x
    x = 651,576,676/17,518
  6. Step 6: Final answer
    x = 37,194.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.