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Finding the Third Proportional to 18,222 and 25,596

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Solution

The third proportional to 18,222 and 25,596 is: 35,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222 : 25,596 = 25,596 : x
  2. Step 2: Convert to fraction form
    18,222/25,596 = 25,596/x
  3. Step 3: Cross multiply
    18,222x = 25,596 × 25,596
  4. Step 4: Simplify right side
    18,222x = 655,155,216
  5. Step 5: Solve for x
    x = 655,155,216/18,222
  6. Step 6: Final answer
    x = 35,954.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.