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Finding the Third Proportional to 25,864 and 39,756

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Solution

The third proportional to 25,864 and 39,756 is: 61,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 39,756 = 39,756 : x
  2. Step 2: Convert to fraction form
    25,864/39,756 = 39,756/x
  3. Step 3: Cross multiply
    25,864x = 39,756 × 39,756
  4. Step 4: Simplify right side
    25,864x = 1,580,539,536
  5. Step 5: Solve for x
    x = 1,580,539,536/25,864
  6. Step 6: Final answer
    x = 61,109.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.