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Finding the Third Proportional to 18,025.50 and 25,242

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Solution

The third proportional to 18,025.50 and 25,242 is: 35,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,025.50 : 25,242 = 25,242 : x
  2. Step 2: Convert to fraction form
    18,025.50/25,242 = 25,242/x
  3. Step 3: Cross multiply
    18,025.50x = 25,242 × 25,242
  4. Step 4: Simplify right side
    18,025.50x = 637,158,564
  5. Step 5: Solve for x
    x = 637,158,564/18,025.50
  6. Step 6: Final answer
    x = 35,347.62

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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.