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Finding the Third Proportional to 25,806 and 37,713

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Solution

The third proportional to 25,806 and 37,713 is: 55,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806 : 37,713 = 37,713 : x
  2. Step 2: Convert to fraction form
    25,806/37,713 = 37,713/x
  3. Step 3: Cross multiply
    25,806x = 37,713 × 37,713
  4. Step 4: Simplify right side
    25,806x = 1,422,270,369
  5. Step 5: Solve for x
    x = 1,422,270,369/25,806
  6. Step 6: Final answer
    x = 55,113.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.