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Finding the Third Proportional to 25,812 and 39,882

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Solution

The third proportional to 25,812 and 39,882 is: 61,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812 : 39,882 = 39,882 : x
  2. Step 2: Convert to fraction form
    25,812/39,882 = 39,882/x
  3. Step 3: Cross multiply
    25,812x = 39,882 × 39,882
  4. Step 4: Simplify right side
    25,812x = 1,590,573,924
  5. Step 5: Solve for x
    x = 1,590,573,924/25,812
  6. Step 6: Final answer
    x = 61,621.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.