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Finding the Third Proportional to 19,186 and 25,603

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Solution

The third proportional to 19,186 and 25,603 is: 34,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 25,603 = 25,603 : x
  2. Step 2: Convert to fraction form
    19,186/25,603 = 25,603/x
  3. Step 3: Cross multiply
    19,186x = 25,603 × 25,603
  4. Step 4: Simplify right side
    19,186x = 655,513,609
  5. Step 5: Solve for x
    x = 655,513,609/19,186
  6. Step 6: Final answer
    x = 34,166.25

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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.