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Finding the Third Proportional to 25,804 and 38,606

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Solution

The third proportional to 25,804 and 38,606 is: 57,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804 : 38,606 = 38,606 : x
  2. Step 2: Convert to fraction form
    25,804/38,606 = 38,606/x
  3. Step 3: Cross multiply
    25,804x = 38,606 × 38,606
  4. Step 4: Simplify right side
    25,804x = 1,490,423,236
  5. Step 5: Solve for x
    x = 1,490,423,236/25,804
  6. Step 6: Final answer
    x = 57,759.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.