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Finding the Third Proportional to 19,292 and 25,806

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Solution

The third proportional to 19,292 and 25,806 is: 34,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292 : 25,806 = 25,806 : x
  2. Step 2: Convert to fraction form
    19,292/25,806 = 25,806/x
  3. Step 3: Cross multiply
    19,292x = 25,806 × 25,806
  4. Step 4: Simplify right side
    19,292x = 665,949,636
  5. Step 5: Solve for x
    x = 665,949,636/19,292
  6. Step 6: Final answer
    x = 34,519.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.