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Finding the Third Proportional to 19,019 and 25,242

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Solution

The third proportional to 19,019 and 25,242 is: 33,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 25,242 = 25,242 : x
  2. Step 2: Convert to fraction form
    19,019/25,242 = 25,242/x
  3. Step 3: Cross multiply
    19,019x = 25,242 × 25,242
  4. Step 4: Simplify right side
    19,019x = 637,158,564
  5. Step 5: Solve for x
    x = 637,158,564/19,019
  6. Step 6: Final answer
    x = 33,501.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.